I hate to reign in on the fun but "Dark Page" (TNG Season 7) shows that Troi had an older sister who died as a young girl that Troi didn't know about. At the time, Troi's father was wearing an early-24th Century style uniform (TWOK uniform with undershirt but no collar).
Sorry. I know it's not as fun as saying "There's nothing to say that she wasn't
100!" but there we are.
Everything's up in the air for the new universe but in the old one, no dice.