The One With The Embryos - S4-E12
Visible crew/equipment: Near the beginning of the show when Joey asks them who's going to ask the questions a boom mic is visible over Monica's head. (00:05:05)
The One With Rachel's Crush - S4-E13
Visible crew/equipment: When Monica is wafting the smell of cookies to the other in the big apartment, there is a shot of Monica, and all the stage lights are reflected in the TV screen. (00:09:55)
The One With The Ballroom Dancing - S4-E4
Visible crew/equipment: When Phoebe and Rick are sat on the massage table, keep an eye behind Phoebe's head when the camera is on her, particularly after Rick says, "I can always find another masseuse." You can see the shadow of the boom mic moving.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.