Galway ancestors: Fleming and Graney

Hello, my ggggrandparents were born in Galway. Edward FLEMING in Dunmore in 1828. His parents are John Fleming and Helen FAHY(?) (these names were gathered from the marriage certificate). Honora GRANEY, born Nov 1844 in Milltown, daughter of Frank Graney and Mary THORNTON(?). 

Edward and Honora were married at St. Mary's in Nashville, TN in 1861. They had 8 children. Many of their descendants still live in the area. Edward's tombstone states he was from Knock? parish, Dunmore, County Galway.  

I have not been able to locate a record for either Edward or Honora coming over to the US. They were both in the 1860 US Census.

I appreciate any suggestions to help locate them.

Thanks,

Mary