The 1841 census supports the three known children, but gives an estimated birth year of 1811.
A number of websites associate William with the birth record below (second source), which gives a birth date of 7 Jul 1809 (and parents John Cuthbert and Jean Sharp).
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William is 24 degrees from George Barnes, 27 degrees from Amy Utting and 25 degrees from Victoria of the United Kingdom of Great Britain and Ireland on our single family tree. Login to find your connection.