Below is a tombstone in Pataskala Cemetery in Licking County. I searched for Atkinsons in both the 1860 and 1870 censuses of Licking County and did not find any. Note the dresses shown on the tombstone. It was normal for young boys to wear dresses in the mid 1800s. The University of Vermont has a page of links to illustrations from Godey’s Lady’s Book including a boys dress from the December 1859 issue.
Thomas P. and Samuel Mc./ twin sons of W. E. & M. P./ Atkinson/ Died Oct. 18, 1863 & Nov. 1, 1863/ Aged/ 2y 6m 4d & 2 y 6m 18d