Motorola RAZR V3

I was just wondering if it was possible to get the TEXT MESSEGES assigned sound for ALL my text messages and NOT get Personal Rings for assigned people when they Text Message me. I've looked everywhere on the phone and can't find an option that will satisfy my needs.

Example:
WHAT HAPPENS NOW:
Bill's Personal Ring = Music01.mp3
Bill's Text Message to ME = Music01.mp3

WHAT I WANT TO HAPPEN:
Bill's Personal Ring = Music01.mp3
Bill's Text Message to Me = MsgSound.mp3

Any help would be greatly appreciated.
😕