Hi
You had the right to be buried (until the churchyards were closed - mostly in the now central London area by no later than 1855/6) in your local parish churchyard. The fact that on her death this woman's address was Southwark should largely indicate a strong connection with the parish of St James the Less to have been buried there.
However St James the Less was a relatively new churchyard only opened in 1842 (when the church was opened) and it seems it rather touted for business as it had the space to do so, when other churchyards by then were 'crammed full', so in this particular case there may not be an actual connection to the parish.
Always worth refering to the website 'London Burial Grounds' for further information on London churchyards.
http://www.burial.magic-nation.co.uk/bgbethnalgreen.htmSt James the Less churchyard was shut to further burials in 1855. In Southwark (according to London Burial Grounds), St George the Martyr had shut by 1853 and St Olave's and St John's Horsleydown by 1852 and 1853, not sure about the exact date of the closure of St Saviour's churchyard from that source, but the burial register indicates March 1854 (one further burial later probably into a family vault). By this date large civic cemeteries had opened in the area. The right to burial in the churchyard was free (burial service was charged), this was not the case in the civic cemeteries where there were further cost implications.
e.g.
Nunhead in Southwark 1840
West Norwood in Lambeth 1837
One current still open churchyard's regulations (not in such an urbanised area as London).
http://www.stjohnthebaptistcapel.org.uk/Churchyard%20regulations.pdfRegards
Valda