This was in the new estate by the road up to Lake Reynisvatn. The Millennium Quarter. It was built on the slopes of Grafarholt hill, on top of which the monstrous brown-painted geothermal water tanks towered like a citadel over the suburb. Roads had been cleared up the slope on either side of the tanks and a succession of houses was being built along them, the occasional one already sporting a garden, freshly laid turf and saplings that would eventually grow and provide shade for their owners.

The throng set off in hot pursuit behind Toti along the uppermost street next to the tanks. Newly built town houses stretched out into the grassland, while in the distance to the north and east the old summer chalets owned by people from Reykjavik took over. As in all new estates, the children played in the half-built houses, climbed up the scaffolding, hid in the shadows of solitary walls, or slid down into recently dug foundations to splash in the water that collected there.

Toti led the stranger, his mother and the whole flock down into one such foundation and pointed out where he had found the strange white stone that was so light and smooth that he put it in his pocket and decided to keep it. The boy remembered the precise location, jumped down into the foundation ahead of them and went straight over to where it had lain in the dry earth. His mother ordered him to keep away, and with the young man’s help she clambered down into the foundation. Toti took the bone from her and placed it in the soil.

“It was lying like this,” he said, still imagining the bone to be an interesting stone.

It was a Friday afternoon and no one was working in the foundation. Timber had been put in place on two sides to prepare for concreting, but the earth was exposed where there were still no walls. The young man went up to the wall of dirt and scrutinised the place above where the boy had found the bone. He scraped at the dirt with his fingers and was horrified to see what looked like the bone of an upper arm buried deep in the ground.

The boy’s mother watched the young man staring at the wall of dirt and followed his gaze until she too saw the bone. Moving closer, she thought she could make out a jawbone and one or two teeth.

She gave a start, looked back at the young man and then at her daughter, and instinctively started wiping the baby’s mouth.

She hardly realised what had happened until she felt the pain in her temple. Out of the blue, he had struck her head with his clenched fist, so fast that she did not see it coming. Or perhaps she did not believe he had hit her. This was the first punch, and in the years that followed she would wonder if her life could have been different had she walked out on him there and then.

If he had allowed her to.

She looked at him in astonishment, at a loss as to why he suddenly struck her. No one had ever hit her before. It was three months after their wedding.

“Did you punch me?” she said, putting her hand to her temple.

“Do you think I didn’t see the way you were looking at him?” he hissed.

“Him? What…? Do you mean Snorri? Looking at Snorri?”

“Don’t you think I didn’t notice? How you acted like you were on heat?”

She had never seen this side to him before. Never heard him use that expression. On heat. What was he talking about? She had exchanged a few quick words with Snorri at the basement door, to thank him for returning something she forgot to take from the house where she had been working as a maid; she did not want to invite him in because her husband, who had been peevish all day, said he did not want to see him. Snorri made a joke about the merchant she used to worked for, they laughed and said goodbye.

“It was only Snorri,’’ she said. “Don’t act like that. Why have you been in such a foul mood all day?”

“Are you contradicting me?” he asked, approaching her again. “I saw you through the window. Saw you dancing round him. Like a slut!”

“No, you can’t…”

He hit her in the face again with his clenched fist, sending her flying into the crockery cupboard in the kitchen. It happened so quickly that she did not have time to shield her head with her hands.

“Don’t go lying to me!” he shouted. “I saw the way you were looking at him. I saw you flirting with him! Saw it with my own eyes! You filthy cunt!”

Another expression she heard him use for the first time.

“My God,” she said. Blood trickled into her mouth from her split upper lip. The taste mingled with the salty tears running down her face. “Why did you do that? What have I done?”

He stood over her, poised to attack. His red face burned with wrath. He gnashed his teeth and stamped his foot, then swung round and strode out of the basement. She was left standing there, unable to fathom what had happened.

Later she often thought back to that moment and whether anything would have changed if she had tried to answer his violence immediately by leaving him, walking out on him for good, instead of just finding reasons for self-accusation. She must have done something to produce such a reaction. Something that she might be unaware of, but which he saw, and she could talk to him about it when he came back, promise to make amends and everything would return to normal.

She had never seen him behave like that, neither with her nor anyone else. He was a quiet person with a serious side. A brooder, even. That was one thing she liked about him when they were getting to know each other. He worked in Kjos for the brother of the merchant who employed her, and he delivered goods to him. That was how they met almost a year and a half ago. They were roughly the same age and he talked about giving up labouring and maybe going to sea. There was money to be had from fishing. And he wanted his own house. Be his own master. Labouring was repressive, old-fashioned and ill-paid.

She told him she was bored in service for the merchant. The man was a miser who was always groping at the three girls he employed; his wife was an old hag and a slave-driver. She had no particular plans about what to do. Had never thought about the future. Toil was all she had ever known since her earliest childhood. Her life was not much more than that.

He kept finding excuses for visiting the merchant and frequently called on her in the kitchen. One thing led to another and she soon told him about her child. He said he knew she was a mother. He had asked people about her. This was the first time he revealed an interest in getting to know her better. The girl would soon be three years old, she told him, and fetched her from the backyard where she was playing with the merchant’s children.

He asked how many men there were in her life when she came back with her daughter, smiling as if it was an innocent joke. Later he mercilessly used her alleged promiscuity to break her down. He never called the daughter by her name, only nicknames: called her a bastard and a cripple.

She had never had many men in her life. She told him about the father of her child, a fisherman who had drowned in Kollafjordur. He was only 22 when the crew of four perished in a storm at sea. Around the time she found out that she was pregnant. They were not married, so she could hardly be described as a widow. They had planned to marry, but he died and left her with a child born out of wedlock.

While he sat in the kitchen listening, she noticed that the girl did not want to be with him. Normally she was not shy, but she clutched her mother’s skirt and did not dare let go when he called her over. He took a boiled sweet out of his pocket and handed it to her, but she just buried her face deeper against her mother’s skirt and started to cry, she wanted to go back out with the other children. Boiled sweets were her favourite treat.