https://familysearch.org/pal:/MM9.1.1/XTCP-TT5 Marriage of a Benjamin Ray Carver MORTIMER and Elizabeth DICKENS on 16 April 1845 at Richmond NSW.
The NSW BDM has this marriage indexed twice within their Early Church Records series.
Vol 30B line 268 and vol 158, line 1237. It is a C of E marriage, at Richmond NSW (CE being the NSW BDM code) (Twice, is not at all uncommon. Some early Church Records can be indexed three, four and even five times. Other Early Church Records have not survived, so are not indexed even once
.
I mention this because the NSW BDM death index has 1935 Henry Mortimer with his parents as Benjamin and Elizabeth.
I should mention that NSW BDM civil registrations commence in 1856. NOT ALL bdm events PRIOR TO civil registration as indexed at NSW BDM. In fact, I am not at all confident that “most” would be a sensible word to use. I would be confident in saying that MANY of the C of E early parish registers are extant. And I should also mention that UNLIKE the laws of England, the C of E was not ever formally installed as the “Established” Church, so there are instances where baptisms and burials in particular are conducted by other denominations from early settlement times. In my opinion, it is simply unwise to research NSW ancestors without obtaining the full details of the bdm events, particularly once you have found you have 19th century NSW births with one or both parents likely born in NSW too..
http://www.records.nsw.gov.au/state-archives/guides-and-finding-aids/short-guide-4/short-guide-4Jewly, I have NOT checked around to see if that Benjamin and Elizabeth (married 1845) could be your chap's parents. I do really really think that you really will need to research the 1881 marriage before you can get much further and be confident that you are on track and joining the dots correctly.
Cheers, JM