Lolia is one of the two Betans in Jarra's Pre-history course.
We later find out that they Lolia and Lolmack are married and have a child, Lolette who is Handicapped. Their partner for that they planned to use for the birth of their second child instantly divorced them when they found out, about what the child was. They are forced to join the Pre-history course as a cover to let them see their child and keep their clans from finding out what is wrong with the child as it would mean the loss of their hard much won status and the possibility of Lolia and Lolmack becoming clanless.
They are given special permission to visit Lolette instead of going out on the dig sites as long as they do well with the theory.