Michelle, the Arkansas Death Index online through 1963 does not list a Harry Hollis. Nor is the name Hollis in the inventory for Shady Grove Cemetery.

Of course you must remember this: If he died in a hosp. in Memphis, or out of state, that death record would not be in Arkansas. And cemetery inventories, sadly, contain only the names of those with grave markers, for lack of any other documentation.
Arkansas death index... none listed for Monroe Co.
George Hollis b. 1890 d. Phillips Co. 27 Jun 1949
Ruffin Hollis b 1886 d. PHillips Co. 30 Nov 1936
Columbus Hollis b 1874 d Phillips 1 Mar 1946
Mary Hollis b 1885 Phillips d 18 Nov 1949
Eddie Lee Hollis 1901 Phillips 17 Sep 1949
Wanda Ridge