I'm going to try to put these in order as I go according to the prompts, but I may forget. This starts it all, X23's first few days at the mansion, before she became Laura.
At first, she'd hidden in the corners of Logan's room, refusing to come out for anyone or anything. There was too much too soon. Too many smells, too many strange tastes, too many people watching her in curiosity, wondering who or what she was, or if they recalled her last visit, when she was going to attack again. She didn't attack.
She hid.
Logan was dubious about it the first night, but he humored her. She slept in a corner on the floor, unused to the softness of a bed or even the chair. She refused the pillow Logan had offered until he threw it at her in frustration, only then curling up around it and the blanket he'd thrown afterwards, after discovering the effectiveness of the method.
The next morning she refused to speak to anyone and would only enter the kitchen after most of the mansion's students had left for school, and eventually gave up trying to find something to eat that she recognized and went back to hiding in Logan's room until he came and dragged her back out. It wasn't hard, she was very light and even threatening to gut him didn't work because he knew she wouldn't do it.
It wasn't until that afternoon that the Professor and Logan managed to convince her to shower. She fought it all the way, but once she was in they had to fight to get her out. The clothes they had left for her were strange. The top was a large cotton thing that came down to her knees, and the pants were a material she'd seen often on people of all ages and gender but never actually tried herself. Once she got it on though, she realized she'd found another thing she'd missed out on that she really would have enjoyed. The material, although not black and leathery, was tough and blue.
The comb was also nice.
But there was one problem still that the Professor and Logan were at odds about.
"X23," the Professor said when she'd answered his polite summon to his office, "is not a name. It is a title, or the name of a possession. Not a suitable name for a teenage girl. Have you thought of a name you might like to have?"
She stood there, silently, watching as Logan's expression grew dark.
"Why would she? The kid's afraid of almost everything here. She's barely been out of my room. Why would she be worried about naming herself?"
The Professor appeared to be listening intently to Logan before turning to her. "What are your thoughts on the matter?"
She looked at the floor, thinking. Even Logan had a name, and he was the first weapon. So he had a life before that. He didn't remember it. He picked his own name and it suits him.
"X23…is not a name." she decided. "But I don't know who to be."