Per the Texas State Cemetery's associated webpage: (
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"James G. Wilkinson, Jr., Republic of Texas veteran, was born in Hardin County, Kentucky, March 5, 1805, a son of Captain James G. Wilkinson. His father received title to a league of land in Austin's Fifth Colony, situated in Fayette County, October 14, 1835. In the headright certificate issued to him in 1838 for one-labor of land by the Board of Land Commissioners for Washington County, it is stated that he came to Texas in 1831. He died in the then Milam County, now probably embraced in Burleson County, February 17, 1841.
Wilkinson's son, James G., Jr., did not arrive in Texas until 1835, as is shown in the headright certificate issued to him in 1838 by the Milam County Board. On an original roll of Captain William W. Hill's Company at muster, April 11, 1836, Wilkinson is shown as having been born in Hardin County, Kentucky in 1805. He was recruited at the home of Asa Mitchell in Washington County by Captain Joseph P. Lynch. He is shown as being 5 feet, 10 inches in height, fair complexion, with blue eyes and light hair. He was a farmer.
Mr. Wilkinson was issued Bounty Certificate No. 803 for 320 acres of land, December 7, 1837 for having served in the army from March 1 to May 30, 1836. He was First Sergeant in Captain William W. Hill's Company at San Jacinto and on May 15, 1838 he received Donation Certificate No. 65 for 640 acres of land for having participated in the battle.
Mr. Wilkinson died in Burleson County on August 15, 1848. His widow, Mrs. Amanda Wilkinson, was appointed administrator of his estate. He left two minor children. Wilkinson and his wife were buried beneath a huge post-oak tree on a knoll overlooking the Yegua Creek, about five miles east of Dime Box, Lee County, in Burleson County. The tombstone at the grave of Mr. Wilkinson was of marble and bore an inscription. The grave of Mrs. Wilkinson was marked only by a rough stone and there was no inscription on it. An iron fence, fashioned by hand, enclosed Mr. Wilkinson's grave. The graves in 1938 were on land owned by Mr. August B. Kubena. The following inscription was on the tombstone at Mr. Wilkinson's grave: J. G. Wilkinson Born March 5, 1805 Died August 15, 1848 One of the Heroes of San Jacinto By his son D. B. Wilkinson The State of Texas had the remains of Mr. and Mrs. Wilkinson removed and on April 8, 1938 reinterred in the State Cemetery at Austin where a new joint monument was erected at their graves.
Information taken from the manuscript notes of the Louis W. Kemp Papers, Archives Division, Texas State Library."