Hi Debbie - what an understatement when you say the bradbury's are a mystery.
as you can see my surname is Bradbury - my mother married William Henry James Bradbury (1923-1958, my grandparents were Thomas Henry Bradbury (1885-1961) & Dorothy (nee Walker (1892-1954).
My Great Grandparents were William Thomas Bradbury (1836-)
and Caroline (nee Bailey) My G G Grandparents - James Bradbury & ?Mary White.
Bessie is the mystery woman - Born Betsy Jane Dunn in St Austell 1841. Married Henry Brown 1874 in Cardiff (see attachment)
William Bradbury (son of Thomas Henry BROWN) - have a look at the birth cert attached and see if you can work it out (its a nightmare) - Williams marriage to Caroline (cert attached)
If you know anything else it would be a great help
regards
Robert