Hemmingway's of Carbury Co.Kildare

Did William Hemmingway Born 1839 or Richard Hemmingway Born 1829 in Carbury Co Kildare emigrate to Australia or New Zealand prior to 1862 ?

My Grt.Grandfather Richard William Hemingway /  Hemmingway appears on the Otago goldfields NZ in 1862 .I have been unable to find how he arrived in NZ. He claimed to be born in Ireland to William and Mary in 1839.I found a number of birth records for a Hemmingway family in Carbury (CI) Co,Kildare Ireland. who I suspect to be my Grt. Grandfather’s family. I suspect this because the christian names on these records are those of his three children eg Delphine Margaret Mary Ann, Sarah Jane, and Richard William.

I have found an irishman Rich’d Hemingway aged abt. 20 who arrived in Melbourne (Australia) on the Commodore Perry from Liverpool in Sept 1857. but have been unable to establish his departure from Ireland or entry to NZ