I'm not so sure that Elizabeth Mary Feeney is the daughter of John and Bridget. You have Elizabeth being born in 1869 in or near Muswellbrook.
John and Bridget settled at Rockley near Bathurst, and it appears that Bridget died in childbirth in 1863.
I think that the two Feeney families may be related as they both came from Glenkillamy a small glen in county Sligo. If not related, they probably knew each other.
Hope this helps, and please correct me if I am wrong or you have any other info that we can put together.