Regarding the references - to help others find the references, I suggest you add a link to the repository. E.g., http://www.bdm.nsw.gov.au/Pages/index.aspx
to help others find the same results you cite.
Looking at the references you cite and the name you have in the profile, it appears you've already concluded that Samuel Rowland's wife, Annie Hassell (per the marriage and obit info), is Mary Ann Hassell, d of Thomas and Mary Ann Hassell (from the birth info.) From just the citations you have, it seems you've begged the question. I.e.,"Assuming Ann Hassell Rowland IS Mary Ann Hassell, how do I prove it?" I don't think you're quite there yet.
Something indicating a link to the name "Mary" would, in my opinion, change the probability of the birth info a lot. Do you, perhaps, have another reference that indicates Annie (Hassell) Rowland was also known as Mary, or Mary A., or Ann M Rowland?
In your citation, you state "...since this is an early church record.." I think I saw something on the NSW site that said something about "early records" but I can't find it again. Can you provide something that indicates that? The birth info as a church record, as you explain, helps the search.
In response to your question, I'd suggest, for the present, you keep her name as Ann (Annie, Anne, your preference) Hassell Rowland. Then your citation makes more sense as "info for further research." E.g., looking for records linking Samuel Rowland and his wife, to his brother. An obit for his brother, or Clara Rowland that mentions surviving sister Ann? Deed transfers? Will or probate records?
EDIT: Looks sort of expensive, but rather than guess at what/where the index information comes from, you might might to order the records themselves. Otherwise, your citations are references to an index, not the actual record.