Hi,
Quite by chance I stumbled on RootsChat and the thread started in May by a lady in Australia. This happened because I too am seeking info about my grandfather. Hence, I pass on a few scraps of info that may be of interest.
Firstly, my grandfather was interred at Walton Park cemetery, Liverpool. But . . . wait for it . . . in 1973 ! Hence the cemetery was still in use at least up until that time. He too had a pauper's grave - at least that is how I interpret the term "public plot". He certainly died destitute.
Secondly, access is indeed through Rawcliffe Road, Liverpool; courtesy of Rice Lane City Farm. A lady (at the farm) called Lisa on 0151 530 1066 might arrange access.
Thirdly, I have a letter (dated 28th January 1994) from the doctor who signed my grandfather's death certificate on 22nd March 1973 in which he states "The Cemetery belongs to the Church of England, and the records are kept at St. Nicholas Church, Liverpool Parish Church, Old Church Yard, Chapel Street, Liverpool, 2." and further, "Mr. Alan O'Toole, who is in charge of Walton Park Cemetery, will send you a photograph of the grave if you get in touch with him."
That's as far as I've got. I hope to go very soon to visit the site. Hope that info interests someone. M.