Welp, I'm not really seeing L coming in without somebody else who actually wants to be there, so here's my options.

1. Friends with Anthea, who came for the loot. L is really a neutral good kind of thing, so she prefers her morals to established laws.

2. Slave for X character, but acts more like a traveling companion. It's not her ideal placement, but as long as she's treated well and not forced to do something against her character she's alright with it.

3. Helper to X important character, like Aelfrick. Most improbable, since she doesn't really fit in anywhere long enough to get a job like that.