Sally,
Correction to my last message. My sister has been to the archives again and found that Willaim Beaumont Buer's father was Charles Buer b. Feb 1757 in Great Parndon, Essex, the brother of my William Buer Bucher/Gentleman b. 1749. Not my William Buer's (b.1749) son William b. 1783 as I previously reported. My sister has obtained christening records etc. to prove this link now. Your Willaim Beaumont Buer's Grandfather is therefore Joseph Buer from Essex.
Clearly a case of too many Williams and Charles in the Buer family.
Hope that did not confuse you too much
Regards - Max