I have looked at the Addisons in Morland and Crosby Ravensworth pretty extensively, at least in wills and parish registers.
There were three contemporary Robert Addisons, which causes problems. My notes are at home, so I will have to look at them before I come back and post.
My line starts with Frances Addison (1759-1834), who married John Little. She was the daughter of Christopher Addison (1725-1784) of Wickware, who married Elizabeth ----. Christopher was the son of John Addison (1691-1768) and Eleanor ----. There was a contemporary Christopher Addison as well.
Since there are a number of us interested in this, maybe we'll get to the bottom of all this.