Tati,
You did very well to find the Sowerbys on Census 1841.
Ancestry has transcribed and indexed the family as SINSKY.
Anyway it is the right family... on C1871 Anthony junior gives his birth place as "West House(s)"
This was part of Byker, All Saints Parish, Newcastle.
The men of the familywere working in the chemical industry hygiene products etc.... Alkali labourers.
Michael Dixon