I did some research on the history of our group a while ago. The council office had the registration records going back to 1935. A few of the recent years had been lost, but overall it was very interesting. Having time on my hands at that point, I transcribed all the old registration records.
The book "75 Years of Scouting in Canada" may happen to have a page on your group. It did for us.
Everything I found on our group, and some general Scouting history, is available at
http://1stmerrickville.ca/history/.
The national Scout museum in Ottawa (
http://1stmerrickville.ca/museum/) has a set of books where every kids in Scouting on a given date in the 1970's or 80's wrote there name on a sheet for the group. That's kind of neat.
Also check the local historical society, and any of the sponsors the group had.