First off you have to be a hippie chick to talk to Eddie. After talking to him scan his mind and the snatch his body. Go to the phone booth across the street and make the phone call. I had a hard time finding the lady while maintaining the Eddie disguise.

If your disguise time is about to run out then press YELLOW to get out of the body, then take over his body again. This way Eddie won't die. The lady you have to target is in North Parliament. If you look at your map it is dead North of where it says Parliament, north of the landing zone. Hope it helps!