1936 is probably on a fantrip (big headlight).
The 1900s were initially assigned as follows: 1900-1913 to Waterbury, 1914-1924 to New Haven, 1925-1930 to Derby, 1931-1939 to Hartford, and 1940-1949 to Hartford.
New Britain never saw any 1900s unless there was some kind of car swap (pre-September 1931, when the link was cut) or maybe a 1900 was used on Hartford - New Britain in a pinch.
None were ever assigned to New Britain.
Courtesy the Bill Volkmer collection