you are definately not alone- our female cat who is otherwise normal does this as well.

She pees on various things- cupboard doors of both spare rooms, foxtel box, dvd player, our heater, occassionally back of the couch.

She only does it if she's ****ed off- excuse the pun- about something, ie if people stay the night at our house, or if we go away for the night, or she's in the cattery while we are on holiday. Last time DH picked her up from the cattery, she peed in the catbox on the way home, her brother frank was in with her so he came out dripping with wee!!!! DH was not amused as he had to clean it all up cos I was at work- haha.

Sorry to hear your couch is getting ruined, very annoying ( its sort of cute tho that she loves you DD so much). My mums cat has something called clonicalm which is like cat valium for if they are anxious, but I think it makes them a bit drowsy, be worth a try though.

Its the worst smell