Complex sentence: She and Crane Tolliver, Lila's first husband, had proof that Lila had never officially divorced him; this meant that Lila and Edward weren't legally married, and Alan and Tracy were illegitimate.
Split into simpler sentences: She and Crane Tolliver, Lila's first husband, had proof that Lila had never officially divorced him. This meant that Lila and Edward weren't legally married, and Alan and Tracy were illegitimate.