This week, the Provincial Archives of New Brunswick added 3,985 Late Registration of Births that were recorded in 1919 to its website. Earlier this month, the Archives had added 5,411 birth records for 1919.
Note that late registrations are almost always for births from years prior to offical civil registration in 1887. Beginning in 1888, the Registrar of Vital Statistics could record as official the birth of an individual years after the fact as long as there was verification of the birth by the doctor or others who were present or had knowledge of the event.
You can search for New Brunswick vital records here.