I don't have a record of any.Here's what I have on Jesse:
World War I Draft Registration Cards, 1917-1918 World War I Draft Registration Cards, 1917-1918 Name: Jesse D Presley City: 2 RFD, Fulton County: Itawamba State: Mississippi Birthplace: Fulton, Mississippi; United States of America Birth Date: 9 Apr 1897 Father's Birthplace: Mississippi Roll: 1682926 DraftBoard: Age: 21 Occupation: Self, 2 RFD, Fulton, Itawamba, Miss Nearest Relative: Minnie Presley, 2 RFD, Fulton, Itawamba, Miss Height/Build: Tall/Slender Color of Eyes/Hair: Blue/Black Signature: J. D. Presley, June 5, 1918 Source Citation: Registration Location: Itawamba County, Mississippi; Roll: 1682926; Draft Board: 0. Source Information: Ancestry.com. World War I Draft Registration Cards, 1917-1918 [database on-line].
MSGENWEB: Itawamba Co, MS Webpage: Itawamba Co, MS Birth Information: Residents of this County in 1917-1918 and Persons with Links to this County Name: Presley, Jesse D. Birthdate: 9 Apr 1897 Race: W Birthplace: Fulton MS Place of Registration: Itawamba MS
He had abandoned the family by running off with another woman.(Elvis, We Love You Tender, by Dee Presley, Billy, Rick, and David Stanley; 1979, 1980)