Modern day Einstein. She's more zealous about machines then Taban. After research she learned a bit about temporal activities and was able to constuct a Telepod. Later on, she bult a basic fighting robot called Gato. The mini-Robos should be not much different than Gato (They seem to work on steam or fuel, it seems). They can't talk or calculate. She just made Mini-Robos to remember her dear friend by. Now, note that in that world you have things like electric grids and water-pipes which are used as frequently as they are here, but without HALF the inventions. Now, obviously there's somewhat of an exaggaration-most of what she did was theories and basic machines, however her work was what led to The Mother Brain computer in the future.
Mother Brain would have been invented regardless of her time travelling, unless she was destined to invent it without going into the future anyway.
Though, if that was true, and she went into the future and ended up seeing her own invention before she made it, it kind of reflects back onto the point that she created that circuit board that would prevent the Mother Brain computers from going rouge. The paradox here is that since she went to the future, and saw them, if she didn't make them in the past, then how would they exist in the future? But thats only if Lucca did make them.
Anyway, Lucca, as Legend_of_the_Past stated, is like a modern Einstein. She is probably the brainiest person of her time. It didn't just take her a moment to get the telepod to work. She had to work heavily on it, till she found the gate key part on the back of the machine. Crono could have been in 600AD for days. Well, 3 days in fact. And Robo's fixing took hours too, maybe a day. Also, if you check out Robo's art, his chassi isn't more advanced than Gato's.
EDIT:
Also, Lucca didn't create that machine that took her mothers legs. She was only like 5 at the time. Taban made it. Lucca didn't know anything about machines back then, and her ignorance caused her mother to lose her legs. Since that day, she dedicated her life to studying and understanding machines so that they could not hurt humans.
Also, Lucca is relevant to CC since she found Kid, created the Prometheius Ciruit Board (not the actual circuit inside FATE), wrote that letter that was supposed to introduce Janus, was kidnapped by Lynx which set of Kid's plot and did all this other stuff.
