I believe I am related to you as the information in your post checks out. James and his wife Annie (nee McKinnon from the Isle of Skye, Scotland) emigrated to Australia from Kilraight, Antrim, Northern Ireland to Victoria. They had 6 children:
James born 1861 at Barkley Vic
Margaret Elizabeth Jean born 1863
William Charles born 1868 at St Arnaud, Vic
Catherine Rosetta born 1869 at St Arnaud. Catherine was my Great Grandmother
Robert born 1861 who died as a child.
Catherine married twice..2 sons, one to each marriage. Dorian James Cranston Birch was my Grandfather. Owen Attwater was his half brother.