Nothing in his hand. What appears to be a cane/umbrella/whatever is actually one of the diagonal bars on the fence behind him (it is below hand level).
You do have to wonder, though, if he dressed up just for this photo, or if he had dusted off his shoes right before it was snapped. The trouser creases are really sharp, which means he hadn't been sitting down -- or sitting for long -- any time before the photograph.
He has a nice smile. Thank you, Linda, for sharing it with us.