I do believe that we've got an ID. I'm 99.99 percent sure that this is the "Pass-along-Pink" Crinum Lily. Wow...thank you so very much. Everything I looked at with that one led me to be convinced that was what it was. Even the size of the bulb in the description seemed correct, along with the description of the young that grow along the sides of the plants that I never mentioned. You know, before I came to this site this week I never even knew what a Crinum Lily was...
Thanks again Everyone for your assistance!