Hi,
Firstly an apology, I don't think the 1756/58 births of Josiah and George form part of your picture.
However I would also be surprised if your suggested "Wright" family in North Meols were involved in your family. Simply for geographical reasons there is some distance between Lymm/Bowdon/Altrincham and that area which is situated north of Southport in Lancashire (over 40 miles away).
Another avenue may be looking at "Stam" - originally I thought this would be a hamlet Statham but on reflection it could be Stamford which now seems to been amalgamated into Altrincham with various references to Stamford Park, Ear of Stamford, Stamford Quarter Shopping Centre in the Altrincham area.
The suggested Perrin family of Hale may be worth exploring as that is within a few miles, close to Altrincham.
Alan