OK, so you want recipes.
I cannot adjudicate on these as I have not tried them and suspect that there has been an element of cross-fertilisation between the various cakes over the years.
Delia's Eccles cakes can be found here.
The BBC version is here
Chorley cake recipe
Jamie Oliver's version of Banbury Cakes
And the BBC version
If you need someone to sample them just let me know