Hi All,
Okay, this is a follow up to my intro post. It was suggested that I post pictures of the tree that was in the yard when we bought our new home, so that someone could help with the ID. Here are several pics.
With me living in Houston, I am fairly sure that the tree is a Celeste or possible a Texas Everbearing. I have not seen the ripe fruit yet (just moved in a couple of months ago). There was a small breba crop, but they all dropped while pretty young. Not sure how old the tree is either, but house is 8 yrs old.

And before someone comments on there being too much shade, there really isn't anything I can do about that. Well, short of cutting down some other 30 - 40 ft tall trees that is.
- Cliff