Location: Pleasure Port / Satellite Chalet
Far left side of the Pleasure Dome, you'll come across a room with several transporters leading up/down the floors. You would use this to get further up towards the Satellite Chalet, but there is a fembot that's asking for her little D.O.G. named Franky. You won't be able to help her until you continue along the path and into the first room of the actual Satellite Chalet.
In here, after disposing of the enemy shepherds, you'll come across several D.O.G. units. The one that she is looking for will be white, whereas the others will be a yellow/orange color. Pull off his original head, then take over and run all the way back to Eudora. Talk to her some and then leave the conversation to get this trophy/quest counted as completed.