Okay, so now Luccia was a scientist when she was between ages 8 and 12? Because she's 28 in 1020 A.D., meaning that between 1000 and 1005, she would be 8-12.
Well, in Lucca orphanege we have on the floor a note where she said she sold some stuff to Porre. Meaning she was still in good relations with Porre, although the bastards wrecked her homeland, sent her two best friends to hiding (In the best scenario... Killed them at the worst scenario), and probably orphaned a lot of children. Seriously, she must of really needed money. Then again, having an orphanege full of screaming, hungry kids is rather costly.
So, I should guess while Luccia was still starting her job and Lucca gave her some help.