Dave, you da man! You apparently know this tree, why it it take so long to get it named. Thanks to it's invasive nature, this tree is more prevalent in parts of the world than where it originated (China). South FL around the Miami area is heavily infested with this non-native. Potted species of this are even being sold by Home Depot and lots of nurseries. This piece of wood is from the Bauhinia blakeana. This is the white flowered variety. I also have a small tree (about 4' tall) of the red variety. I am looking to buy a lavendar variety this spring.
Look up Orchid tree, or the Spanish name Pata de Vaca (foot of the cow) or Bauhinia sp. You should look it up just to see the flower. Some 6" across and looks just like an Orchid.
Dave, if you want the wood, send me your address. Thanks to all who chimed in. I hope it was fun and you learned something about this great little tree.
I may have another tough one later if I can find one locally.