Hello John
You have quite a few clues, don't despair!
Martha has mentioned the Vital Stats Registrations. That would be a good place to start. You can check for the births of children to Edward and wife - use the indexes first, then get the full registration. That will give you more details where the family was living in the Windsor area. You can get these into a nearby Family History Centre if you have one, or you can get them from the Ontario Archives via InterLibraryLoan. See
http://olivetreegenealogy.com/can/ont/ and click on Vital Statistics for details how to go about this.
There are online Birth Reg at the Ontario Vital Stats Project at
http://www.rootsweb.com/~onvsr/Also there's the Canadian BDM Exchange at
http://olivetreegenealogy.com/can/bdm/You might have a look just in case!
Next, you mention Edward might be Canadian as his granddaughter applied for Canadian citizenship. Does this mean you don't know where he was born? Perhaps he was from the USA and he naturalized once in Canada. If this is the case, you might want to send off to see if he has naturalization records. (if he was born in Canada or United Kingdom this doesn't apply)
Citizenship and Immigration Canada holds records of naturalization and citizenship from 1854. The originals of records dated between 1854 and 1917 have been destroyed. However a nominal card index survives. Records created after 1917 are more detailed, indicating the surname, given name, date and place of birth, entry into Canada, and in some cases, the names of spouses and children.
See
http://naturalizationrecords.com/canada/ for details how to order an index search from Citizenship & Immigration Canada
Remember tho' that if he was born in UK he will not be there. From 1763 to 1947, people born in the provinces and colonies of British North America were all British subjects. Iimmigrants from Great Britain and the Commonwealth (England, Ireland, Wales or Scotland) did not have to be naturalized.
Third suggestion - check city directories for the time period, see if you can narrow down where Edward was living.
You say Edward died 1931-1936 - have you hunted for his grave on the online OFCA? That is the ONtario Cemetery Finding Aid, it isn't complete but it has millions of names! See
http://www.islandnet.com/ocfa/Lastly, do you think he may have joined the CEF (Canadian Expeditionary Force) in WW1? You might want to search the online database at Library & Archives Canada. I don't have the URL handy, but you can get there from the Canadian Military Heritage Project site at
http://www.rootsweb.com/~canmil/ Most of the front and back of the Attestation Paper for each soldier has been scanned and is online, but if you find your Edward, don't stop there! YOu can get the full file which might be chock full of info, but you must order it offline either by FAX or by SNAIL MAIL. You can't order the full file by email. Instructions are given at LAC, be sure to read them carefully if you find your Edward in the index.
Good luck