We are fairly certain John Keefe/O'Keefe was Catholic. I have been told he donated the land for the Catholic church to be built in Poygan Wisconsin (St Thomas Aquinas) where he settled after immigrating. I've also been told that John began omitting the O' from his name after he left Ireland. We're pretty certain Mary Bateman, his wife, was Anglican as she would/could not attend St. Thomas and walked by herself on Sunday to a separate church in Winneconne, WI. She was also not allowed to be buried in the Catholic Cemetery with John Keefe so she was buried at Winneconne Cemetery. The plot, which was purchased by their youngest son Robert, there is also a marker for an 'Aunt Susan' who were are assuming is Mary Bateman's sister? Susan who sailed with them on the Westpointe to New York. John Keefe has a headstone right next to Mary in this non-catholic cemetery but there is some family lore from a relative who recently passed that said once John Keefe finally died 12 years after Mary, they had her exhumed and they were both buried together on their farm in Poygan. Not sure if there is any truth to that. Other family also says that their 10 children were raised Catholic, though I am not surprised by the fact that their names would be more Anglican considering Mary Bateman's background.
After having done more research since adding John Keefe here to this website, and I have also come to agree with you that 'Lord' Bateman probably just meant that he was a landlord. The name John Bateman comes up loads in the land records but I don't know how to determine if that is 'our' John Bateman.
I can email you, Clare. Thank you for your offer.