Hi Kiwi
Yes, I did find my ancestors graves at the Beckett Street Cemetery. I found the burial, grave and map details at the history centre in the Leeds City Library, when I was in England. The staff there were really helpful, and I found all the information I needed within 10 minutes. To start your search with the documents they have, you need to know the persons full name, and the year they died (preferably the quarter) too.
Unfortunately I don't know where you can get photos, however, if you can get to a Latter-Day Saints Church family history centre, you can order in the transcripts of the MIs of Beckett Street, for burials from 1845-1997. I did also post a message on here, asking if anyone could check the MIs for me for Beckett Street. The grave I was looking for was not on it because when I went to the grave, my ancestors headstone was almost buried. I only found it as I was looking for it. The graveyard was in a real mess with broken headstones everywhere. We had to dig overgrowth off our ancestors graves. Although there were 6 people buried in the two graves, there was only one headstone, so we think the other parts of the headstone where moved or broken.
Anyway, I hope this helps in your search.
Sally.