All his service records in the Soldiers & Sailors System, as well as Graves Registration, only show him listed as David Hate. There is no evidence of the last name of Hale, even under an alternate name.
BTW, it looks like you have 2 entries for David in the Constantine cemetery.
William S. Wert I'm the great granddaughter of William S. Wert, Memorial #26801269. There happen to be two memorial for him. Yours and Memorial #49823709 where he is actually buried in Ft. Myers Florida. He is not buried in Greenwood Cemetery even though the tombstone shows his name. The marker was made before he died. I would love to have his wife Hayes Etta Wogoman Wert transferred to me if this is not your family. Thank you for your attention.