Synnos on Family Tree Circles

I am looking for information regarding WILLIAM CHADWICK who settled in Bathurst Australia maybe 1832. His parents were William & Elizabeth. William married SARAH SARGENT in 1849. WILLIAM, may have been born in Liverpool, Lancashire in 1820. After 2 years of searching I have not found his birth records or shipping records. I would be be very gratefull if anyone can help further my reaseach.