Idea: a young elf who got displaced after a magical accident, looking for her parents and friends while wandering the world. Fighter and the archetype I have in mind is Scout.
Background:
Chalia's parents were explorers. They wanted to find and understand the old elven artefacts, including a teleportation gate network on their home world. So they spend a lot of their time in various ruins and caves all over the world. For Chalia it was heaven. As soon as she was old enough to accompany them, she fell in love with the research and the old stuff they found, even if it was just a few bits of crockery. The entire group of researchers became sort of surrogate parents and they all took a liking to the little girl who asked questions all the time.
When she was 27, the group was in the north, camping near a cavern, they did something to an old system and it activated. There was a blinding light and when she came around, she was in a strange world she didn't know. She had already learned about survival, so she moved south. She was found by a hunting party of elves, who listened to her story and took her to their camp.
There she stayed, but the carefree and happy girl of before was gone, replaced by a young woman who was determined to find her parents and their friends and colleagues (should they be on this world as well). She trained hard with the group's militia, learning how to use a variety of weapons, but mostly focusing on the greatsword. But after a while she got restless and moved away from the camp, going from place to place. She often hired out as caravan guard to travel.
character sheet: Chalia Gremaris