Yes, the middle initial appears as J or S for Jeremiah Allen (1791-1852) which can be indistinguishable in upper case handwritten form. He was born in NC, and was in Randolph County, GA for the 1850 census. Both he and Martha died about 1852 but dates not confirmed. Lots of mysteries about Allen family, 1800-1850. Trying to solve all I can! Thanks!