The One With All The Kissing - S5-E2
Continuity mistake: When Phoebe says she is going to "pack her ass off" she walks toward the coffee house door, and they cut to a quick shot of Joey then back to the wide shot with the door, and Phoebe has disappeared. She did not have time to make it to the door and out. (Widescreen version). (00:15:50)
The One With All The Kissing - S5-E2
Continuity mistake: There is a scene in Central Perk where Rachel confronts Chandler about all the kissing he's been doing. She raises her hands up in front of her and tells Chandler to hold on to stop him from getting up from the couch. As he goes to sit back down on the couch she lowers her hands to her lap. The shot cuts to an angle behind Rachel's chair and she is lowering her hands again. (00:14:35)
The One With All The Kissing - S5-E2
Continuity mistake: In the Central Perk scene where Rachel is telling Ross she loves him, Ross is sitting at the small round table. The blue cup and the white cup with the lid move positions throughout the scene. (00:16:25)
The One With All The Kissing - S5-E2
Continuity mistake: In the scene after Monica pretends to drop socks in the hallway in order to prevent Rachel from telling Ross she still loves him, Rachel goes back into the apartment and locks Monica out. Monica then starts to pound on the door with her bare left hand. The scene changes to the apartment and Ross opens the door to let Monica in. All of a sudden Monica is pounding the door with her right hand wrapped in a sock. (This continuity problem is for the widescreen version, where we see a closeup of Monica not seen on the DVD, in the hallway with a bare hand right before Ross opens the door. However, on the DVD there are extra shots of Ross and Rachel after seeing Monica's bare hand pounding and then seeing her with the sock on her hand, which gives her ample time to put it on). (00:11:45)
The One With All The Kissing - S5-E2
Continuity mistake: In The One With All The Kissing, Phoebe grabs a photo of the other 5 by the Tower of London. When we see a shot of her a few seconds later drawing herself into the photo, it's a different photograph. (00:07:25)
The One With All The Kissing - S5-E2
Continuity mistake: A few days after the friends have returned to New York following Ross' wedding, Monica's hair is suddenly about three inches longer and a completely different style than it was in London. It was previously just above her shoulders in a sleek "pageboy" style. Once back home, it is much bushier and longer, well over her shoulders. This was obviously due to Courtney Cox growing her hair during the break in-between Season 4, which ended with the Ross/Emily wedding debacle, and Season 5. (The first episode of Season 5 was filmed the previous season and was Part 2 of Ross and Emily's wedding).
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.