Try the following reference:
"The Regiments and Corps of the Canadian Army" published in 1964 by the Queen's Printer, Ottawa.
NB Rangers is mentioned on pages 178 to 181. In the early years of the 1900s, the unit went through various amalgamations with other NB units but as noted in above responses it went to war in WW2 as the NB Rangers. After the war it was one of several units that formed the First Battalion, The Royal NB Regiment.