The One with the Candy Hearts - S1-E14
Continuity mistake: Just before Carol and Susan enter the restaurant, Ross reaches for the menu with his left hand and his right hand is under the table. In the next shot his right hand is holding onto a cup on the table. (00:11:20)
The One with the Candy Hearts - S1-E14
Continuity mistake: In the restaurant when Ross asks Carol to join him, his date has her hand with the chopsticks in it up on the table. In the next shot it is gone. (00:14:55)
The One with the Candy Hearts - S1-E14
Continuity mistake: Just after Rachel throws a bread roll at Joey, he turns to Chandler to speak to him. Chandler is holding his hands out in front of him. In the next shot, his right hand is touching his face, then in the next shot, it is lowered again. (00:02:55)
The One with the Candy Hearts - S1-E14
Continuity mistake: When Chandler are Joey are talking in the restaurant and Chandler says "Me and you 'we'" his right hand is raised, camera changes and it's lowered. (00:07:30)
The One with the Candy Hearts - S1-E14
Continuity mistake: In the scene where Ross and Carol are talking and Carol says that all he needs is to find a woman who likes men, a woman comes across the room walking in high heels. The shot is wrong because we see her up until she's half the way through the table, and the next shot shows her four steps back. (00:23:10)
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.