William was born in 1825 at or near Shilton, Warwickshire, England, a village about 1km north of Ansty, and about 5km northeast of Coventry. One reference has his birth-place/residence as the hamlet of Barnacle, 1km west of Shilton. On the other hand, FamilySearch has his baptism place (not his residence) as Brinklow, Warwickshire. 
In the 1851 Census of England, William gave his birthplace as Bulkington, a village about 2km north of Barnacle and Shilton, Warwickshire. It can reasonably be assumed that William's parents were living in one of these villages at the time, and that this is where he was born. 
Williams' parents were shown on his baptism record as Daniel Smith and Anne (Anne Wolfe). Anne was born and raised in the area around Brinklow, some 10km east of Coventry, and Daniel was born at Woodford, Northamptonshire, 50km further to the east, according to the 1851 Census of England. However, prior to marriage, they were living in adjacent villages, Anne at Monks Kirby and Daniel at Withybrook, in Warwickshire. This area, a rough triangle formed by the villages of Ansty and Shilton in the northwest, Monks Kirby to the east, and Brinklow in the south, all about 5 km apart, had virtually become the base or "seat" of the wider Smith Family in this area .
William was baptised at the Church of St John the Baptist in Brinklow, Warwickshire, on 20 Mar 1825. The birth record states that the family was living in Shilton, near Ansty, but apparently still attended the church at Brinklow. The Census of 1851 states that William was born at Bulkington. This is the next village to Shilton, about 1 or 2km north, and this probably informs us that they lived somewhere between the two. 
William probably began his working life in farming, as his father was a farm bailiff (overseer and rent collector) when William was a teenager, but the 1851 census states that he eventually became a carpenter and joiner in Ansty.
William and Jane produced 3 children in Ansty, but the first died aged about 3 years -
In 1857 they emigrated to Australia under the Assisted Passengers scheme, the state of Victoria subsidising the fare. They departed from Liverpool, England, on 02 May 1857 aboard the sailing ship, Maldon, arriving at Port Phillip, Victoria, Australia, on 28 Jul 1857, after a voyage of 97 days.  
They settled in Richmond, an inner suburb of Melbourne.
Here they produced 2 more children -
William Smith died on 30 Jan 1914, in the Melbourne Benevolent Asylum, an aged care facility at Cheltenham, Victoria, Australia.
It was noted that a FamilySearch transcription of the marriage records of William and Jane shows the marriage date as 08 Jul 1849, but on investigation it is clear that this is the date of the last of the Banns being posted, not the marriage.
The Marriage Certificate shows the actual date of marriage as 19 Jul 1849.
A transcription by FamilySearch also has the father of William inexplicably named as Patrick Smith, whereas the accompanying image of the original certificate states clearly that his father was Daniel Smith.
William and Jane had 3 children in England before emigrating to Australia. The last, Henry, was born in 1856. Their next child was born in July 1859 at Richmond, Victoria, Australia, which informs us that they probably emigrated in 1857 or 1858. A search of the Victorian Public Record Office's immigrant passenger records discovered that they are all listed as "assisted passengers" (the Victorian Government subsidised the fares) on the sailing ship, Maldon, which departed from Liverpool, England on 02 May 1857 and arrived at Port Phillip, Port of Melbourne, Victoria, on 28 Jul 1857.
Searching these records one finds that there are a number of Williams, Janes, Susans and Henrys with the Smith surname, but in each case there is only one of the right age, travelling on the same ship, and with the same reference number as the other family members (Book 11, Page 431).
Jane's will and probate documents include clauses which suggest that William was in poor health in the latter 10 years or so of his life, and that he resided for most of that time in an institution in Cheltenham, a beach-side suburb on the eastern side of Port Phillip Bay, Victoria, Australia. The Melbourne Benevolent Asylum, known now as The Kingston Centre, is a large aged care and rehabilitation facility opened on Warrigal Road, Cheltenham, in 1911, and was William's final home.
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