We certainly have a connection.Your John Odams born 1851 at Woburn Sands(also known as Hogsty End) married Mary Holmes Sept Qtr1871 in Nottingham (certificate not obtained).
John Odams born 1851 was the son of James Edward Odams and Anne Whipham who married 1848, St James, Westminster, London - several members of the Odams family from Wavendon went to London to be married.
James Edward Odams was the son of John Odams and Susan Phillips of Wavendon who married 1825 at Bow Brickhill, Buckinghamshire.
John Odams was born 1803 at Wavendon and was a brother of my William Odamsborn 1799 at Dorking, Surrey.John died at ayoung age leaving his wife and two surviving children living at Hogsty End, but only James Edward survived to adulthood.It seems that James Edward shifted to Nottingham sometime after his children were born.
I've contacted you directly as well as replying to this forum