The One That Could Have Been, part 2 - S6-E16
Continuity mistake: Rachel is talking to Joey in his apartment after waking up the next morning, looking messy and rumpled. As she talks, her bra strap slips down her arm. In one shot (as she says "I'm a horrible person"), the strap is all the way down her arm and then in the next shot it is tucked under her shirt. (00:10:00)
The One That Could Have Been, part 2 - S6-E16
Continuity mistake: When Phoebe is in the hospital bed and Monica gives her a cup of herbal tea, Phoebe is shouting at her for putting honey in it. As the shot changes back and forth the spoon in the cup changes position. (00:02:00)
The One That Could Have Been, part 2 - S6-E16
Continuity mistake: When Chandler goes into Monica's apartment after he beeps Dr Roger for a "ruptured spleen" his hair is sticking up through the front of his cap. After he tells Monica "You should be with me", the shot goes to Monica and when it goes back to him, his hair is neatly tucked into the cap.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.