What is Lucky Strike? Most begonias will grow if there is a stem to grow from, some will sprout anew from the roots but it helps to know what kind of begonia it is. Ah, I searched for it and see it is a tuberous form so it would probably go dormant anyway. Check for ways to winter over dormant tubers - they will sprout in spring after a few months of rest.

If you still have the stems you can usually root those for new plants.

Thanks for your quick response! When I looked it up it said "begonia x". Not sure what that meant. It was a pretty peachy yellow color. I sure hope it comes back, especially since its in a pot and its been pouring rain!

Where do you live? It sounds like you are in a frost free region. If the stems are falling off and it is pouring rain, I would tip the pot over (if you don't take it indoors). so it won't be sitting in water.

Check some web sites about caring for tuberous begonias. Here is an example:

http://pss.uvm.edu/ppp/articles/begonias.html