Parents listed on Death Certificate as Jesse Franklin and Mary E. Stinnett.

States he was divorced. Wife listed on several boys birth records is Tomalee Harris, also known as Tommie Lee Harris. She later remarried to a Cox, and is buried in Farmington NM. by her son Edwin, who died in WW2. She signed his military gravestone application in 1948 as Mrs. Tommie F. Cox so we know she was remarried by then.
Jesse died at VA Hospital in Temple, TX. Had lived in Temple, TX 7 years prior to death.

Known sons from their marriage are:

Edwin H. Franklin Born around 1921 Colorado

Name: James D Franklin
Birth Date: 21 Oct 1924
Gender: Male
Birth Place: Lamesa, Dawson, Texas, USA
Father: Jesse L Franklin
Father Birth Place: Weatherford, Texas
Mother: Tomalee Harris
Mother Birth Place: Lone Rork, Arkansas
Mother Residence: Lamesa

Name: Philip Franklin
Birth Date: 21 Feb 1926
Gender: Male
Birth Place: Kerr, Texas, USA
Father: Jesse Lion Franklin
Father Birth Place: Parker County, Texas
Mother: Tomalee Harris
Mother Birth Place: Arkansas
Mother Residence: Kerrville, Texas

Name: Cecil Franklin
Birth Date: 8 Apr 1927
Gender: Male
Birth Place: Center Point, Kerr, Texas, USA
Father: Jessie L Franklin
Father Birth Place: Weatherford, Texas
Mother: Tomalee Harris
Mother Birth Place: Mountain Home, Arkansas
Mother Residence: Center Point, Texas

Name: John Henry Franklin
Birth Date: 10 Jul 1928
Gender: Male
Birth Place: San Antonio, Bexar, Texas, USA
Father: Jessie L Franklin
Father Birth Place: Weatherford, Texas
Mother: Tommielee Harris
Mother Birth Place: Arkansas
Mother Residence: School St So SA

On June 14, 2016 on a photo request I made for his grave, a fellow contributor wrote me the following:

Cemetery office confirmed that this burial is unmarked

They also reported, specifically:
Susan at the main office did confirm that Jesse is buried there , he is in Section AA Block 1 lot 3 grave 1. Unfortunate the grave is not marked.