Hi Nathan, Many GRAHAM and PETERSON families.
Always helps others help you - if you can provide as much information as possible - Given Names, Ages/Years of birth etc - perhaps family connections.
Time frame - for the research etc.
There are Census availble -1901,1906,1911,1916
Western Land Grants - Homesteads
National Archive of Canada - Soldiers of WW1
Do you know When, Where? any of the family members passed away?
Obituaries - may show names and locations of other family members - current to the time. You could then follow this up - or request help.
City Directories - for the time frame - will give you an idea where the family lived.
Alberta GenWeb Local History Bookshttp://www.rootsweb.ancestry.com/~canab/looknewe.html
Check the indexes for the books mentioned .
Search Alberta Heritage Digitalization Project.
In the Early 1940's we had The National Registration of All Canadians over the age of 16 years - This information is available - the cost $48.15 [a few years ago]
Cheers & Good Luck, Stella