I've got a spreadsheet for Fulwood burials from S&DFHS. If you give me the name you're looking for I'll take a look for you. If they died after about 1905 then that may be a problem as, unfortunately, all their burial records seem to have this year as a cut off point.
Is there a any mention of a Margaret Broomhead nee Morton, buried late 1840 / early 1841 in the Fulwood burials ?
The Margaret I am looking for was baptised 26 May 1805 at Eyam, she died Dec qtr 1840 Her husband was Thomas (Labourer) The couple baptised a daughter, Caroline in Eyam 1834 giving the address as Fulwood Ecclesall Bierlow they also baptised a son, Edward, again in Eyam in 1838 giving the address as Sheffield Park. There is then another baptism at the Sheffield Parish church for an Emma d/o Thomas and Margaret in 1839 address simply Sheffield.
I have a wealth of information regarding Emma that I will post in its own thread as it is quite a story that has troubled /intrigued me for years.
I've checked my Fulwood spreadsheet but he's not there. It cuts off right at the beginning of the 20th century unfortunately. I've also checked FMP and though his death registration is there there is no burial record. I've also checked Ancestry and it's not on there either.