Here is a list of known Carr's buried in the New Hope Cemetery which is 7 miles south of Sheridan.

Carr, C. B. 17 Nov 1890 11 Oct 1899
Carr, Florence Dates Unreadable 64 Years
Carr, Francis R. 1849 1933
Carr, H. H. 19 Dec 1872 19 Aug 1899
Carr, Hettie L. 1870 1932
Carr, John P. 1836 1930 CSA Co.C 2nd TN Cav
Carr, Lillian L. 1878 1966 wife William S
Carr, Romey Jul 4, 1911 Oct 18, 1912
Carr, Thomas A No Dates CSA Co F 11 Ark Inf
Carr, William S. 1875 1938 husb Lillian L

It seems that this Thomas A. Carr and your Thomas L. Carr Are two different persons. There was a Thomas A. Carr enlisted in Company F, 11th Arkansas Infantry which enlisted in Benton Arkansas in July 1861. The complicated part of all this is that Grant County didn't exist in 1860 and this part of the state was a part of Saline County.