Searching the Western Land Grants, finds Jacob and Gottfried SCHROEDER section 36. Twp 41, Range 3, W5.
This would be about 10 miles west of Rimbey.
The Master Surname Index (not online) (mostly burials in Alberta cemeteries) of the Alberta Genealogical Society lists some 80 SCHROEDER names, but do not seem to connect to your families.
Someone else may be able to tell about the 1911 Census.
For further research please contact the AGS Research Services Committee of the Edmonton Branch, http://abgensoc.ca/