Just thought I'd post this - not that it helps find Annie or John.
Mary J BROGAN, d 1904, #13959, reg Narromine, has parents listed as Thomas and Ann, so this woman is a child of Ann's first marriage?
Hellena BURGE, d 1921, #19394, reg Narromine, has parents listed as Richard and Ann - as she appears to have married under the name of COAD, I assume she is also a child of the first marriage.
Edit to add:You have probably seen the austcemindex photo of the grave of Helenor BURGE at Narromine, doesn't seem to be a photo for Mary though. Noting your interest in surname TANSWELL, there are also some photos of graves with that surname at Narromine.
http://www.austcemindex.com/Judith