The One With Phoebe's Ex-Partner - S3-E14
Continuity mistake: When Joey is telling his story about throwing Ginger's wooden leg in the fire, when he gets to the part about him, Ginger and the dog Pepper falling asleep in front of the fire, a large section of her hair falls in front of Phoebe's face. In the next shot it's gone;, however her hands are visible the whole time and she has not pushed the hair back. (00:08:05)
The One With Phoebe's Ex-Partner - S3-E14
Continuity mistake: When Monica comes in and asks Chandler if she can borrow some milk, Chandler is reading a paper that is flat on the bar. In the next shot he is holding it folded, then he lays it on the counter, and suddenly it is in his hands again. (00:14:20)
The One With Phoebe's Ex-Partner - S3-E14
Continuity mistake: When Ginger leaves after finding Chandler's third nipple, she is taking her coat and her purse is lying on the counter. When the camera angle changes, the purse is suddenly in her hand.
The One With Phoebe's Ex-Partner - S3-E14
Continuity mistake: When Phoebe says you never run on a barge, her hand changes position on the table between consecutive shots. (00:06:50)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.