Thanks for your responses and sorry for my somewhat late response ... on holidays :-)
Anyway, Emma was the fourth born of six Buxton's and I'm confident based on our records was indeed a legitimate Buxton and as confirmed on her death certificate she died at the Royal Infirmary, Manchester, Lancashire, United Kingdom. Death Certificate of 32 year old Emma Fletcher nee Buxton on June 11, 1877, Wife of William Fletcher, a "Moulder" died of Bronchiis. Daughter of John Buxton, 8 Burton Street, Ardwick, Manchester. I have edited obviously ;-) As for this Buckston & William Fletcher in Hartlepool ... its seems like a long way from Manchester but it's more than I have found so far so I will dig into it, Thanks a ton!!!