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Lance and I both have DNA matches to the siblings of William Barton from Rowland in Derbyshire. he was The notorious footpad Barton, a native of Rowland, Derbyshire, whose numerous depredations in different parts of the county have occasioned much alarm,  and for whose apprehension a large reward has been offered by his Grace the Duke of Portland, in consequence of his stopping and robbing one of his Grace's servants at Worsop, a short time ago, has for a long time eluded the vigilance of the police and others ; he was taken in Nottingham last week, and passed through Chesterfield on Saturday night last on his way to this town, to answer for his delinquencies. - Sheffield Mercury
04 January 1836 - Morning Post - London, London, England
04 January 1836 - Globe - London, London, England
10 January 1836 - Bell's New Weekly Messenger - London, London, England

Nottingham Review and General Advertiser for the Midland Counties 15 January 1836

HO 17/42/78
Prisoner name: William Barton Junior.
Prisoner age: 22.
Prisoner occupation: Gardener.
Court and date of trial: Nottinghamshire Lent Assizes, March 1836.
Crime: Robbery - robbing John Sponge, groom to the Duke of Portland, of ten shillings.
Initial sentence: Death commuted to transportation for life.
Gaoler's report: Said to have committed several daring robberies - other charges against him.
Annotated (Outcome): Nil.
Petitioner(s): Sampson Hodgkin son and five other residents of the parish of Bakewell, Derbyshire, supported by character references from William Barton and five others.
Grounds for clemency (Petition Details): Good character; sober and industrious habits; never suspected of any malpractices and highly respected by his neighbours until he unfortunately incurred the displeasure of the Earl of Newburgh by catching a rabbit, for which offence he was banished from his home and his father discharged from harbouring him.
https://discovery.nationalarchives.gov.uk/details/r/C16221361

The witnesses at the marriage in Brockdish would tend to confirm it is the same family
Sophia Nobbs was the 2nd wife of John Doughty and he had had a daughter Caroline by his first Marriage. Sophia Nobbs mother Molly Whitehead was sister to Phoebe Whitehead.

Pheobe Whitehead and George Whitehead (nephew to Phoebe and Molly, son of William) are witnesses to Molly Whiteheads daughter Sophia Nobbs' marriage in 1827

When Sophia married the widower John Doughty on 25 Dec 1827, the witnesses are W Simpson, Margaret Simpson, George Whitehead, Pheobe Whitehead and Mary Doughty

Many thanks much appreciated

Robert Grieve and Margaret Lindsay had a son William baptised at Smailholm 16 Feb 1823, so he could have been born in 1822

Thanks Trish looks like Jean was a sister to Adam, as her husband Patrick Coldoun was witness on Catherines baptism, and on Agnes's William Knox and James Skirvine.
A William Knox was married to an Agnes Skirvine and Agnes 1675 was married to their son Archibald.