Another thought Hiram and Jane had Mary Ann, then George, then Eneas, then Hiram and Jane. Naming patterns aren't strictly adhered to but Eneas is such an unusual name, I thought it my be looking for any others in the area. An Eneas Swinhoe son of John and Anne was baptised in Tweedmouth on 11 May 1828. He appears on the 1841 census as Ennes Swinney age 13 with John age 44 and Ann age 43. Some of the children are baptised as Swinney in Tweedmouth. The youngest child in the family (also Ann) was born in 1840 mother's maiden name Cowe. There is a baptism for a John Swinhoe in Tweedmouth (residence Spittal) on 14 Aug 1796 s/o John and Elizabeth. John and Elizabeth also had a daughter Jane baptised on 30 Jun 1801 in Tweedmouth. Notes on baptism transcription state she was the first daughter 1st daughter, father is native of this Parish, mother was late CASELEY, native of Hebborn in parish of Chillingham.
Hiram's wife Jane was born Spittal abt 1801 according to census information, so this might fit.
There is a marriage between Elizabeth Caseley and John Swinnow in Cornhill, Northumberland on 27 Oct 1795 which might be the couple.
Just a wild theory but you never know!