Hi Anne, I am not sure how much help I can be about the US. My grandmother Ethel Maude born 1880 in Warrington married William Hudson in 1902 and they emigrated to Canada in 1910 as did her sister Gladys Ince at a later date.
Their father Walter Ince was born in Nantwich in 1859, his father Thomas also born in Warrington in 1827 and I don't have anything beyond that. It gets so much harder before civil Registration with no land and no money.......
I would be very interested to know more about the Ince name, origins etc.