Like you I am a Saxon born in Stockport, with grandparents who lived for a time in Shaw Heath. My grandfather, Joe (not Joseph), died in Bredbury in 1935.
I have some records about most Saxons of the 19th Century in the UK and constantly search for living relatives, so far without success.
Can you provide more details about your known Saxon ancestors? For instance your father’s date or year and place of birth. I note that he married your mother Audrey (Johnson), early 1953 in Stockport. There are a number of Leslie Saxons in the indexes, one born in July-Sept., 1928, in Ashton, his mother’s surname being Holmes. This might well be the favourite, because Ashton includes Dukinfield. My Saxon ancestors have links to Compstall, Hyde and Mellor.
The Christian names of your Grandfather and his wife would be useful, if known.