I Googled 'bois d'arc lumber Texas' and got plenty of hits, though many are oriented toward turning size. In addition to the names you have, it appears the name is also corrupted to Bodark.

I've cut down 3 but all I was thinking was to get rid of thornes (from the new growth) and balls (for those that aren't familiar with it, the tree's fruit are bigger than softballs, apparently worthless except to the tree, and don't rot or burn easily. Was afraid of car or person getting hit by 30 or so dropped each day - they feel like bowling balls!)

Neighbor cut one down last week . . . am trying to figure out where to start.