Hi Irene,
Just for interest, in the 1890 Kelly's Directory, John Henry Buxton Esq. is a magistrate living at Hunsdon Bury (further on in the directory called Hunsdonbury), Ware. In Hunsdon Lodge is listed a William Bagley.
Also listed as a magistrate is a Thomas Fowell Buxton. From family research I know that he was a brewer and that the family link in to the Gurney family (by Elizabeth Fry's sister), well known 'Quakers' or Friends. Haven't traced John Henry though, he maybe one of the missing links!
Best wishes, haliared