Although I have never had to do so, I think that doing the following steps might work.

1. Remove your family from My Trips. Go into the reservation and click "Delete". Remember to delete it from "Past" reservations as well on the Manage Reservations screen.

2. Save your individual reservation to your account on continental.com.

3. Add your family's reservation afterwards.

Continental.com may not be updated with the latest PNR info that you are not on the reservation with your family, so it may be a little confused. Doing the above may clean it out - however, remember to do yours first and then your family's. If all else fails, call Tech Support @ 1-800-300-1547. Usually, I find that I know more than some of their agents, but occasionally I can get an agent that can manipulate the website however I want. Hope this helps.