Complex sentence: Her name indicates that she was born into the "gens Manlia", which if correct, indicates an illustrious patrician ancestry; however, she may have been descended from a freed slave belonging to a member of that gens.
Split into simpler sentences: Her name indicates that she was born into the "gens Manlia", which if correct, indicates an illustrious patrician ancestry. However, she may have been descended from a freed slave belonging to a member of that gens.