New Brunswick is one of the provinces that’s fairly open with its recprds of genealogical interest. Now, MyHeritage offers the convenience of accessing 1,130,755 birth records between 1801 and 1921. Records typically include the name of the child, date and place of birth, and the names of the parents.
It’s instructive to explore the contents. How many records are there by year.
There are 33 in 1800, very few until 1860, a double peak at the end of the 18th and beginning of the 20th centuries, and the odd entry to 1950.
As described in the FamilySearch Research Wiki, the provincial government began recording births, as well as marriages and deaths, in 1888. Prior to that date there are a mix of sources, notably County Register of Births, 1801-1920.
In 1850, of the 72 entries there are people with birthplace listed in Australia, England, France, Ireland, Netherlands, New Zealand, Portugal, São Tomé and Príncipe, Scotland, and United States of America. I’m guessing these are not New Brunswick’s attempt to expand its jurisdiction!