According to the Calgary highlanders website, tehy did not become the Calgary Highlanders until the 1930's. Before that they were known as the Calgary Regiment, and then before that, the 10th CEF took its drafts primarily from the Calgary Rifles, and teh Winnepeg Light Infantry.
From the Wiki site: "The Provisional 10th Battalion of the Canadian Expeditionary Force was created around cadres of Militiamen from two existing units; the 103rd Regiment (Calgary Rifles) and the 106th Regiment (Winnipeg Light Infantry). The unit was assembled at Valcartier in Quebec, and sailed for the United Kingdom with the first Canadian contingent in late 1914. Their commanding officer was Lieutenant Colonel Russ L. Boyle, a veteran of the war in South Africa and in 1914 the commander of the 15th Light Horse, an Alberta cavalry unit.[1]"

and from the Clagary highlanders website:
:History of the 10th Battalion

The 10th Battalion, or "Fighting Tenth" as it became known, was created in 1914 as a war-service infantry battalion; it was populated heavily by men from the 103rd Regiment (Calgary Rifles), saw extensive service with the 1st Canadian Division in France and Flanders, and was later perpetuated by The Calgary Highlanders."

Cheers,
Chad