I think there may be some confusion...
Organizations (such as DG) have special pins that are only for mothers of initiated members. So it's not the actual anchor badge, but a pin that is a suggestion of our Pi Alpha new member pin.
Here's the original thread, with a picture of our Mother's pin.
http://www.greekchat.com/gcforums/sh...threadid=39630
That being said, I would probably wear only the mother's pin to her functions, but if I had a son I think I would be more comfortable wearing his mother's pin with my anchor badge.