The One With The Blind Dates - S9-E14
Factual error: Monica takes an ovulation test to see if she is still ovulating. The ovulation test only works before you ovulate (usually 24 to 36 hrs), to detect the LH surge that comes before you ovulate. Once you ovulate that surge is gone and the test will not work. (00:08:20)
The One With Phoebe's Birthday Dinner - S9-E5
Factual error: The restaurant refuses to take anyone's orders until they're all seated, which means that the group is sitting, occupying a table, without earning any revenue for the restaurant. There isn't a restaurant in NYC that would have such a policy, since it basically guarantees that a table becomes a revenue vacuum. (It also makes for very unhappy customers, but that doesn't qualify it as a factual error, since some restaurants might be actually stupid enough to not care about their return customers).
The One In Barbados, part 1 - S9-E23
Factual error: Ross' computer is a Powerbook G4 which is totally immune to PC only viruses - Chandler opened up an infected email that contained the Anna Kournikova virus. (00:12:45)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.