The One With Princess Consuela - S10-E14
Continuity mistake: When Phoebe sits down in the coffee house and tells Chandler and Monica her new name, she takes her jacket off twice. (00:07:20)
The One With Princess Consuela - S10-E14
Continuity mistake: When Ross is trying to get Rachel's chair through the revolving doors, he has his right leg on the chair but it suddenly switches to him having his left leg on the chair. (00:15:25)
The One With Princess Consuela - S10-E14
Continuity mistake: When Rachel starts to cry, after Ross brings the champagne, Ross hugs her and holds the glass in his left hand, but when it cuts to the wideshot, the glass is instantly on the table in front of him. (00:10:20)
The One With Princess Consuela - S10-E14
Continuity mistake: After the scene Mike and Phoebe are arguing about changing their names in Central Perk, just before Phoebe meets one of her clients, a purple cup disappears off their table. (00:19:40)
The One With Princess Consuela - S10-E14
Continuity mistake: After Ross announces his tenure, when Rachel starts crying and tells him that she got fired and didn't get the other job, her right hand is up by her face, but in the next shot her right hand is holding the glass of champagne and it's her left hand up by her face.
The One With Princess Consuela - S10-E14
Continuity mistake: When Phoebe and Mike are at Central Perk discussing their name changes, his scarf goes from being hung loose around his neck to tied around his neck from shot to shot. (00:12:15)
The One With Princess Consuela - S10-E14
Continuity mistake: When Ross hugs Rachel in Central Perk, after finding out she has been fired, he leans his face against hers twice.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.