It should, but perhaps wait a couple of days in case there's info posted from other RChatters. I noticed the registration on the NSW BDM online index is under DODD, not Dodds... Back in the 1860s the NSW BDM districts were quite extensive, so the Wee Waa district was not just Wee Waa itself...
I think there's an image of the registration at an online public tree. If so, then it is one of the older style registrations, long before the internet popularised family history.
I may be duplicating Cup of Life's post.

Cheers, JM