The 77th Canadian Infantry Battalion of the Canadian Expeditionary Force (CEF) was authorized by General Order 103a of 15 August 1915.
Recruiting Area: Ottawa and district.
Mobilization HQ: Ottawa, ON
Service:
Canada: 16 July 1915 to 20 June 1916
England: 29 June 1916 to 22 Sep 1916
France: No service as a unit.
The 77th Battalion was absorbed into the 47th and 73rd Infantry battalions.
Commanding Officer: Lieutenant Colonel D.R. Street (19 Jun 1916 to 13 Sep 1916)
Source: "Over the Top!; The Canadian Infantry in the First World War, by John Meek, 1972
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The 47th Battalion was part of the 10th Brigade, of the 4th Division, of the CEF.
The 73th Battalion was part of the 12th Brigade, of the 4th Division, until disbanded in April 1917 and replaced in the brigade by the 85th Battalion.
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You can start researching the War Diaries of these battalions here: http://www.collectionscanada.ca/02/020152_e.html