Hi Brian,
I've just come across your message and am also descended from Joseph and Ann (Hills). The surname has countless spellings over the years, even within one family. Ours settled on Heginbotham in the mid 1800s. My great-great-grandparents were Henry Heginbotham and Hannah Hancock. Their son, Francis (Joseph's younger brother) married Mary Merrill and their daughter, Gladys, was my grandmother. She married Joseph Hallam from Curbar. They had only one child, Joseph, my father, who sadly passed away last April. I am currently updating my notes for some of my Dad's cousins so if you want any more info let me know. I, like you, have the gravestone and worked down from there and I also have projected tree for ancestors of Joseph born Cheshire but am not entirely convinced that they are the right parents. Just a feeling.
Regards,
Barbara.