Fallon's credit card records include a purchase from TKTS (half-price tickets for Broadway/Off-Broadway shows), but TKTS doesn't take credit cards, only cash or traveler's checks. (TKTS started taking credit cards in 2009, 10 years after this episode aired.)
Fallon is depicted as the ultimate control freak -- won't let his super-docile second wife see her family, insists that there's only one way to fold a towel, etc. -- and the plot hinges on his daughter's enrolling in college in Manhattan even though the family lives in Cincinnati, yet someone who micro-micro-manages to that degree would never let his daughter attend college in another city. Similarly, the plot hinges on his removing his daughters from his first wife's custody, but his first wife is independent and able to think/act for herself; Fallon would never have married someone he couldn't control. Fallon didn't have to physically control his daughters. He already brainwashed them. So it doesn't matter if she went to out of state college.