Factual error: While travelling up the east coast from FL to ME they show a Santa Fe passenger train, which only runs out west.
Factual error: In the shot where the three officers ride the aircraft elevator from the hangar deck to the flight deck after arriving aboard the admiral's carrier, you can briefly see some of the aircraft parked on the hangar deck, and they are jet aircraft. The aircraft have pointed noses, no propellers, and the fuselage shape and markings are consistent with first generation Navy carrier jets. These types were not in service until the mid-50s (See "Bridges of Toko-Ri").
Factual error: When David talks to Linus about the consequences of calling off his engagement with Elizabeth he says that their father would take to the bottle and smoke six coronas. Throughout the movie the old Larrabee smokes one churchill after another, but not a single corona, which is significantly shorter than a churchill. (01:02:05)
Factual error: After Gene Kelly sings "The Heather on the Hill", he sees more heather on the other side of the bridge. He starts across but Cyd Charisse freezes in horror, since to cross the bridge would break the spell over the village of Brigadoon. She then drops some of her heather in the middle of the path and runs back to the village. The camera cuts to Gene Kelly chasing after her, but the heather dropped on the path has disappeared.
Factual error: At the beginning of the movie, Forney, who is an enlisted man (a chief petty officer), replies to an officer's orders with, "very well, sir." Officers say "very well" to enlisted personnel, but for an enlisted man to say "very well" to an officer is a serious breach of naval etiquette.
Factual error: Jeff has been in a cast (for a broken leg) for seven weeks and has been in his apartment for most of that time. He tells his boss that he has one more week before the cast is removed and can then immediately go back on assignment as a photojournalist. By this time he should have been transferred to a walking cast and be using crutches instead of confined to a wheelchair, but he is still wearing a full leg cast that goes up to and around his waist.