The One Where Rachel Has a Baby, part 2 - S8-E24
Revealing mistake: When Rachel's baby is born, she is held up for Rachel and Ross to see, and she has no umbilical cord. There is no way the cord could have been cut that quickly. (00:34:15)
The One Where Rachel Has a Baby, part 2 - S8-E24
Audio problem: As the nurse comes back from wrapping the new baby, we hear her say "Here she is," yet her mouth doesn't move to the words she is apparently saying. Even though her mouth is only visible during the "she is", she's not saying the words. Then she mouths some sort of "oh", but nothing is heard. (00:09:00)
The One Where Rachel Has a Baby, part 2 - S8-E24
Continuity mistake: While Rachel is having her baby she grabs Ross by the shirt and says 'you do it for me' in the next shot her hand is no-where near Ross. She couldn't have put her arm down that quickly. (00:33:50)
The One Where Rachel Has a Baby, part 2 - S8-E24
Continuity mistake: When Phoebe and Ross are standing in front of the screen looking at all the babies and talking about why He and Rachel aren't together, some of Phoebe's hair is in front of her shoulder on the right hand side then the shot changes looking over Phoebe's shoulder at Ross. Then when you see Phoebe again her hair is behind her shoulder yet she has not moved or touched her hair. (00:45:00)
The One Where Rachel Has a Baby, part 2 - S8-E24
Visible crew/equipment: After Rachel asks Joey to get the other box of tissues under Ross' coat, when Joey drops the ring box then picks it up and opens it we can see the end of the hospital set floor and wall, behind the chair.
The One Where Rachel Has a Baby, part 2 - S8-E24
Continuity mistake: When Ross is telling Chandler that Janice is there and she's contracting Chandler can be seen putting his hands on his face. In the very next shot his hands are by his side again. (00:02:50)
The One Where Rachel Has a Baby, part 2 - S8-E24
Visible crew/equipment: In the very last shot of the episode, as Ross is walking down the hall, stage lights are visible at the end of the hallway.
The One Where Rachel Has a Baby, part 2 - S8-E24
Continuity mistake: When a nurse is putting Emma to bed we see that Emma is nicely wrapped up in a blanket. The shot then cuts and Emma's right arm is sticking out the top of the blanket.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.