Branches and tree identification?

[Arbolito]

It may be hard to identify but thought I’d ask anyway. Does anyone know what kind of tree this is and if it’s safe for chams? The branches I picked off the ground are solid wood and don’t see or feel sap. I live in Texas if that helps. Looked everywhere online and cannot ID the tree. Bark is really smooth and doesn’t seem to peel off. Thanks in advance!

 

[lurker9090]

you can try scanning the leaves with an app called "Seek" by inaturalist ! just need to make sure its good quality

 

[elizaann2]

It say if there is no sting odor, no sap and no obvious signs that it’s infested with little buggies you should be ok