Yeah, Ooola HAS been with Alley for a good many of the time travels! Why don't EITHER of them (or the Moo Royals) consider that maybe if Alley gets married, it might be a good idea to QUIT time travelling (or at least go on hiatus until the youngest Oop's got his/her own dino license)!
and not to mention many other trips in the past 60 or so years. For theatrical purposes, some obvious details have to be put aside, an example was on "Silver Streak" - when they couldn't get to the locomotive on the runaway train. Duh - there's a door in the nose of it! Also the cut signal cords - they are for signalling only - not for emergency braking. Oh well, why confuse people with facts.