Welcome to Rootschat
The way things work is through the kindness of strangers who have a common interest in genealogy. Whether in forums like this one, or transcriptions that are online, we all benefit from the knowledge and work of others and , in turn, we answer questions in here if we think we can help.
I asked the original question in this thread. Initially I wanted to know which cemetery it was likely to be. That would then lead me to pinpoint the right register at the archives to look through and find the entry to give me the info I wanted. I was very lucky (and grateful) that I got way more than that and someone who was able to look up the register took the time to do so and give me the information. Since then, the friend I was helping has visited the archives and now has a copy of the page which shows the burial entry.
Someone may see your question in this thread and be able to help with specifics. I can't, sorry, but I can tell you that, if you don't get a specific reply in here then Durham Records office have copies of the burial registers for the years you need. If you are going to be in the Durham area and still don't know 'if' they were buried at St James, you can look it up at the archives office.
http://www.rootschat.com/links/0tx0/That link will take you to the catalogue listing at Durham Records Office for St James Burnopfield.
good luck with finding them
Boo