With the marriage record, there's a full birth date for him: May 17, 1908. That could be used in looking for death info.

Even though you aren't interested in this wife, you should still gather ALL records that you can find. For example, this gives you his middle name Elmo -- maybe you didn't have that before...?

Also, if you trace this wife, say in a obituary, you MIGHT find something about Francis -- they could have had a child or children together...