Correction: Shelby Twp, Jefferson Co is in SE not SW Indiana, near the KY border.
Since Hiram/Allen & his wife Lydia had both a dau. Sarah & a dau. Lydia, could the mother's full name be Lydia Sarah or Sarah Lydia? That might account for her being called Sarah in 1880, but Lydia previously.
Has anyone found a will for Hiram/Allen Carmine or his wife?
Is Carmine in this case totally unrelated to Carman or Carmean?