I'm currently transcribing Greystoke burials. I've found:
1763 March 9th Fletcher Fleming of Penruddock
1763 Aug 20th still born child of Miles Fleming of Graystock (sic)
1765 Apr 24th Thomas Fleming of Stoddah Row
1785 Jan 17th Sarah Fleming of Skelton, widow. She was maintained the latter part of her life and was buried at the expense of Skelton Parish. She died with her son in law John Nelson of the village of Greystoke, taylor. Pauper
1793 Feb 27th Mary wife of Miles Fleming of Greystoke
1799 Feb 9th Miles Fleming of Greystoke, labouring man
1800 Sep 28th Jane Fleming of Greystoke, widow aged 38
1807 Feb 27th Ann Fleming of Greystoke, single woman aged 43
1807 Apr 24th William Fleming of Penruddock aged 67
1839 Mar 5th Henry Fleming of Park House aged 61
1844 Apr 9th Jane Fleming of Popplig-dubs aged 19
1849 May 7th Ann Fleming of Greystoke aged 30