Hi Susan!!
Hope all is well with you!
The information you posted here--sounds very promising for this is very neighbourhood they have their children brought up in.
May I ask whom were living at 49 Emmett Street if you do not mind my asking? This is what I am asking.
Baltic Avenue you mentioned above--it made a lot of sense now because I "read" the death certificate on a Bridget O'Shaughnessy (Joseph's mum) in the Archives. I was not too sure if it was her. Strangely, she was a widow and I was able to find only one Patrick O'Shaughnessy death record--he died in NYC only one year before in a lodging house (

) and he was married.
I am certain that they were Joseph's parents--it is such shame that I cannot identify the records positively without any family member as an informant but with early death records--the informant is the doctor only.

Is Liberty Street in same neighbhourhood?
Many, many thanks to you for finding Joseph's family in other censuses because without it, I will never accept the marriage record without knowing who his parents were!

Kind regards
Tees