William Fawcett was listed as a constable in Berrima in 1841 and as a free person. Assuming he had originally been a convict he is most likely the man who arrived on the Larkins in 1828 and received his conditional pardon in 1836. 
His certificate of freedom tells us he was born in 1794, was from Cork in Ireland and transported for seven years for stealing a watch.
How he came to be a constable is difficult to understand. In 1838 he had been charged in Berrima on two counts by the police magistrate Frederick C L Thompson. On one count he was found not guilty, on the other, that of larceny, he was found guilty and sentenced to three months in Liverpool Gaol.
He was removed as constable in 1842.
 SRNSW, Convict Certificates of Freedom 4/4333; Reel 996
 SRNSW, Convict Certificates of Freedom, 1810-1814, 1827-1867. On-line database ancestry.com.au. No.26/365
 SRNSW, Register of Criminal Cases tried at Country Quarter Sessions: Berrima: 1840-1846 Series Number: 848; Reel: 2758