Arthur was born in 1877. He is the son of Jacob Hancock.
Sources
England & Wales Birth Registrations: Mar 1877, Hancock, Arthur William District: St Austell Vol 5c Page 129. Accessed at FreeBMD (http://www.freebmd.org.uk/cgi/search.pl)
1881 Census of England & Wales (RG11/2301 f50 p3), Ruddle Moor, St Austell, Cornwall, Arthur W. Hancock, age 4, son of Jacob Hancock, clay agent. Accessed at Findmypast (http://www.findmypast.com)
1891 Census of England & Wales (RG12/1822 f45 p2), Ruddle Moor, St Austell, Cornwall, William Hancock, age 14, brother-in-law of William Hooper, china clay labourer. Accessed at Findmypast (http://www.findmypast.com)
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DNA Connections
It may be possible to confirm family relationships with William by comparing test results with other carriers of his ancestors' Y-chromosome or 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 some percentage of DNA with William: