It is quite possible that the McClure in Isaac McClure Criner's name came from the McCain side.
Tombstone Liberty Hill Cemetery, Madison, County, Hville, AL on east side of Liberty Hill Road off Pulaski Pike: "In Memory of Isaac Mc Criner, b Nov. 25, 1827 d Sept. 22. 1863, 4th Al Inf of CSA, shot from ambush and killed"