A big call out to Grit dog and the value of information shared on this forum.
I epoxied in 2-3 toothpicks yesterday and installed longer bolts today. It appears there really wasn't anything to grab to. I couldn't get the bolts to pull down really tight. Didn't want to squirt in a large amount of urethane glue and wait for a few months (or go buy a 2 part automotive urethane) so I followed Grit dog's other suggestion. There was actually room to drill another set of holes on the other side of the bracket. I drilled new pilots, hit wood, and installed the original screws on that side.
Everything is now very tight.
Note: Lend-a-Hand puts a steel nut on a stainless bolt holding the handle. The nut was frozen on and I twisted & broke the bolt trying to remove it. Now I have to go buy a new 1/4 x 3" stainless bolt. They could have added a tiny bit of never seize at the factory and saved me this aggravation.