Hi Denise,
you might find some info from this site. St james cemetery is mentioned on it, not far down on the page it says burials from 1829-1936 on micro film...Liverpool, Lancashire, England - Cemeteries
Title: Burials in St. James Cemetery, Liverpool, 1829-1936
Authors: Liverpool (Lancashire).
Film Notes: St. James Cemetery is located on Upper Duke Street and was originally excavated as a stone quarry.
Film Items: Microfilm 0093790 Index A-J
Microfilm 0093792 Burial registers 1829-1843
Microfilm 0093793 Burial registers 1843-1852
Microfilm 0093794 Burial registers 1852-1864
Microfilm 0093796 Burial registers 1890-1936
Films not held on site which can be ordered for £7.50 .....the website is http://www.londonfhc.org/content/catalogue?p=England,England,Lancashire,Liverpool&f=1