Hi, Sue and Wivenhoe
Yeah, funny that the family traveled to Bathurst of all places, and James Jr was born in Sydney! Why Bathurst - that was prior to the gold rush???
James Walsh jr got married to Mary Collins at St Alipius, Ballarat 4th of January 1867, bachelor and spinster, his birthplace was Sydney and her birthplace was Galway, Ireland. He was a miner and she was a servant. Both were aged 22. The residence is hard to read but looks like his residence was recorded as Cobble (

) and she lived in Ballarat. His father was James Walsh (farmer) and his mother was Mary Murphy. Her father was John Collins (farmer) and her mother was Mary Hackett.
Wexflyer - Thanks for the heads up regarding the records in Cork. Re: "Have you tried DNA matching to increase confidence in identifying the location of origin?" My Irish ancestry can be traced to Fermanagh, Cavan, Meath, Kilkenny, Cork, Clare, and Galway.