Just Peachy

We have this tree in our backyard:

We were told that it was a fruit tree, but they didn't know what fruit. We initially guessed peaches. Well, the ol' girl has started to bloom:

Sure looks a lot like this picture.
I originally linked to this picture. They don't like that, apparently.

And we discovered these on the ground all around the tree:

Sure look like peach pits to me! I'm very excited to see what comes of this. I love peaches. I guess I need to go find a peach cookbook for spring. I'll keep you updated.