Some months after her 1968 on-stage mental breakdown (at one point she is seen signing mental hospital documents dated October of that year), Rosemary reads an item in a Hollywood trade paper about her recovery - but immediately below it is an item about yet-to-filmed movie version of The Boston Strangler, which was already in theaters by autumn 1968.
When Rosemary Clooney moves to New York City in the early 1950s the skyline of the city is shown. The twin towers of the former World Trade Center is in prominent view. They weren't completed until 20 years later.
After establishing shot of Paramount Studios, Rosemary Clooney is seen appearing in movie being filmed on outdoor Western set with actual mountains and trees at end of set - even though Paramount lot is actually in heart of urban Hollywood with nearest mountains miles away.