Lara Ashtear
Lara is Lucca's mother. She is married to Taban and lives in Truce.
In 981 AD, Lara gave birth to Lucca.
In 990 AD, Lara suffered an accident involving one of Taban's creations, her young daughter watching helplessly. This left her unable to walk and generally confined to their home.
As such, Lara has changed over the past ten years into a quiet and withdrawn person, loving yet distant to her family.
10 Years Ago (Before 1000 A.D.) ...
Her daughter came through a Gate from 1000 AD to the moment in time when she suffered her horrible accident. Lucca input the shut-down code - L, A, R, A - to turn the machine off just before the conveyor hurt Lara's legs.
In the altered timeline, Lara is no longer the quiet soul, and enjoys life to its fullest. On the last day of the Millennial Fair, she wears Taban out by asking him to dance with her.
In Chrono Cross
Lara is never mentioned in Chrono Cross, but it can be assumed from Lucca that her full name is Lara Ashtear.