http://www.nationalarchives.gov.uk/a2a/records.aspx?cat=143-ms_58&cid=-1#-1I think you might have this already, but it bears close reading.
There is mention of a 'deed of separation' between William Wright and Ann Wright. Ann is later then herself referred to as a 'rope and twine maker'. A Jane Turner is referred to as her sister (and an Edward Turner is referred to as Jane's sister), so maybe Edward, Jane and Ann were siblings.
Before William and Ann separated, they had at least two children: Edwin Payton Wright and John Turner Wright. Edwin married Marianne Augusta Turner; John married Mary Henrietta Turner - both women were daughters of Edward Palmer Turner (not sure what relationship, if any to the Edward Turner mentioned earlier) and Mary Griffin (presumably some relation to the John Griffin of Bilston, ironmaster, mentioned, though haven't yet checked what). Marianne Augusta died, having had three children - Marianne Harriet Wright b 1850, John Turner Wright b1853, and Edwin Payton Wright b 1858; Edwin Payton Wright married again, in London, to Amy Dollman, daughter of the Francis Thomas Dollman (an architect in London) mentioned, and had six more children, including Edwin Payton Francis Wright. One of the other children was named Katherine Horsfall Wright, so I wonder if there is some family connection between Webster and Horsfall Ltd (one of the other firms involved in the Atlantic Telegraph Cable) as well as a business one. Very confusingly, at least for me, both Edwin Payton Wright snr and John Turner Wright snr had sons named Edwin Payton Wright and John Turner Wright. Edward Palmer Turner had a son also called Edward Palmer Turner, who married Mary Kendrick in 1840.
In the 1861 census, John Turner Wright snr (at that time aged 35, and married to Mary Harriet) has a 'Mary Wright, aged 67', in his household, and described as his 'mother-in-law'......which I'm not sure I understand.....
