I checked beta.familysearch.org, and the only thing I could come up with was: Willie May Eldridge, born 25 Nov 1912, Bell Co. KY, to James and Nancy Catherine Hoskins Eldridge. He died 21 July 1992 in Mt. Airy, NC. He lived at 542 Allred Mill Rd., Mt. Airy. He was a machine operator and single. He is buried at Roselawn Memorial Garden, Middlesboro, KY. You might search Findagrave.com to see is his parents are buried there also.
I could find nothing on James or Nancy. I was lucky that I found my grandfather's death certificate on familysearch. He was killed in a mine accident in Harlan Co, and died in Knoxville, TN, in 1929. Certainly hope you can find James' death certificate. It will mean a lot to you. Nancy