Henry, like all men between 21 and 45, had to register for the WWII draft1. But, Henry was never drafted for WWII. Below is a copy of his draft registration card2.
References:
“Research Starters: The Draft and World War II.” The National WWII Museum. https://www.nationalww2museum.org/students-teachers/student-resources/research-starters/draft-and-wwii#:~:text=The%20Draft%20and%20WWII,draft%20in%20United%20States’%20history.
“U.S. WWII Draft Registration Cards.” National Archives and Records Administration.