Info on Log Paddock mine:
http://www.bonzle.com/c/a?a=p&p=313527&cmd=sp
It is about 9 k from Mudgee.
I wonder who brought up Mary Jane after her parents died (if it's her parents we've found). I can't see a birth for Ada whose Golden Wedding you mentioned. However I can't find anything on NSW BMD - it just keeps searching and no result except a message to say it isn't working 
Judith
There is a possibility the children were raised by their grandfather.
Death Notice
WEAVER. -On the 8th December at the residence of Sidmun Baber, Lambton, John Samuel Weaver, beloved
grandfather of Ada Baber ; aged 74 years, Sleep, dearest grandpa, your task Is o'cr, Your loving hands shall toil no more.You always strove to do your best, t'ill Jesus took you home.to rest. New Zealand papers please copy.
Marriage
REG 2269 Yr 1863 WEAVER John Samuel to RICHARDS Mary Ann at FORBES
The names of the couple agree with those on the death of Elizabeth Ann FREEMAN.
HOWEVER if Elizabeth An FREEMAN died in 1877 and her parents' marriage was not until 1863, perhaps she was born before the marriage of her parents.
Sue