[Bill A]

Some further explanation. This title has been attributed to 2 Canadian Garrison Battalion under that battalion's first designation. The Garrison Battalions were raised for the defence of vulnerable points in Canada, and never served overseas.
Here is the organizational history of 2 Garrison Battalion:

1353 No. 2 Special Service Infantry Battalion
Authorized: GO 325/42 - Effective 15 Jun 42, Redesignated: GO 362/40 - Effective 15 Jun 42
Redesignated: Serial No. 1353 - 2nd Garrison Battalion - GO 362/42 - Effective 15 Jun 42

1353 2nd Garrison Battalion
Authorized: GO 362/42 - Effective 15 Jun 42, Allocated to the Canadian Infantry Corps as:
Serial No. 1353 - 2nd Garrison Battalion, C.I.C. under GO 485/42 - Effective 3 Sep 42

1353 2nd Garrison Battalion, C.I.C.
Authorized: GO 485/42 - Effective 3 Sep 42, Disbanded: GO 301/43 - Effective 1 May 43
(Tonner, On Active Service)

Note the unit was not authorized until 15 June 1942, and it was immediately redesignated 2nd Garrison Battalion. There is an extensive file from archives about the insignia for the Garrison battalions, which does not use the original designation Special Service Infantry Battalion for either 1 or 2 Garrison Battalion. There are no documents on file about obtaining titles under the original designation. There is considerable correspondence about the badges and shoulder titles for the two Garrison battalions, and how they would be distinguished by two different numbered shoulder titles. This is not consistent with or supportive of the title that is under discussion in this thread. The designation No 2 Special Service Infantry Battalion is not the designation used on the title in question. The designation for the reinforcement battalion overseas is consistent with the title.