William Williams was born in Gloucestershire, England.
William Williams was a coal miner
William Williams was born about 1851 in East Dean, Coleford, Gloucestershire. He was the son of Thomas Williams and Jane Dobbs .  He was christened on 13 September 1852 at Christchurch, Forest of Dean, Gloucestershire.
When the 1861 census was taken he was living with his parents and siblings at Smith Street, Bilston, Staffordshire
In 1871 he was living with his parents and some of his siblings at Lamb Inn, East Dean, Westbury-On-Severn, Gloucestershire. He was a collier. 
He was a miner in Durham in 1875 when he married Mary James on 13 February. 
At the time of the 1881 census the couple were living at 30 Quarry Street, Wingate, Durham and had one child, Ada (5). 
By 1891 the family were at 41 St Johns Terrace Normanton, Yorkshire and there were two more children Thomas (5) who had been born in Wingate, Durham and Rose Alice (1) who had been born in Normanton.  They had probably moved to Yorkshire for work as there appeared to be better opportunities for miners there.
By 1901, Willliam was not at home when the census was taken. There were two more children at home with Mary, daughter Eva Lily (5) and a son Albertia (2). 
In 1911 the family had moved to 2 Milton Street, Wombwell, Yorkshire. At home were William, now retired and his wife Mary along with Alberta (12) and granddaughter Mary Alice Bailey (3).
The 1911 census states that Mary had had 8 children, but 3 had died. 
William died in 1928 and was buried on 28 November 1928 in Wombwell Cemetery, Yorkshire. 
Paternal and Maternal relationship is confirmed by an AncestryDNA test match between Joan Williams and her third cousin once removed CG. Their most-recent common ancestors are Thomas Williams and Jane Dobbs. Predicted relationship from AncestryDNA: 4th–6th Cousin based on sharing 21 cM across 1 segments
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It may be possible to confirm family relationships with William by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share DNA with William: