Darryl,
There are two separate "large" Seery families residing in New South Wales, Australia and both descendents of a Michael Seery (not the same one)
The first (Michael) arrived in the 1830's as a convict and resided in the Central West Highlands
The second (Thomas) arrived in 1860/1 and sponsored a Michael to Australia in 1861 and resided Southern Highlands
Both had been in the Roayal Irish Constabulary
More Seery families arrived in other states with what appears to be a predominance in Western Australia
I know those arriving in the 1830's and residing at a place called "Pejar" near Goulburn have been well researched but I am also aware there were already individual SEERY members already in Australia by 1830
I suspect you are located in Australia so you may be able to indicate which State the family may have resided