Do you have any time frame? Dates or approximate dates of b, m, d? Names of any spouses. siblings, children? Is Hopkins Co. location of residence, birth, death?
You might try the free search tool at: https://familysearch.org/search to see which James is the correct one.
Examples below, however there are more James Pendletons in Hopkins b. from 1800's to 1930's. Many don't indicate middle initial.
U S Census, 1860 Minor Civil Division: Beat No 6 Hopkins, TX
Citing this Record "United States Census, 1860," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MXFF-1D1
James C Pendleton Age : 54 years
Birth abt 1806 Virginia
Page: 64 Image Number: 00364
U S Census, 1940 Justice Precinct 8, Hopkins, TX
Citing this Record "United States Census, 1940," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/KWKG-ZRX
Head Jas Pendleton M 70 TX
Wife Mary Pendleton F 69 TX
Son-in-law Clarence Witt M 40 AL
Daughter Gladys Witt F 33 TX