Hello, again! I was afraid you were going to mention Canada. I have similar situation in my family with immigration to US via Canada -- very hard to trace. If you were temporary in Canada, they took very little notice of you until 1915 when US laws on immigration tightened.
I was rummaging around on the Web for Cook County Genealogy sites. Have you done the same? Lots of sites but not so much specific info. Most information is random generally stemming from the volunteer base's personal interests.
Have you put notices on RootsWeb board for Cook Co? Someone may have a 1910 directory and can look up address. Many times the directory listings are not tied to having a phone.
Ward 5 is South Township. If you go to
www.alookatcook.com You can find Ward 5/South Township map with street & geographical boundries which you can print out.
So sad about all those children. I'm not exactly sure how the question was asked/intended -- No. of Live Brths vs No. of Pregnancies which might illicit different answers. I'm assuming "No. of Live births" would be the concern of the Census and Bridget apparently said 11.
I'll look some more on the Canadian aspects but doubt if I have the resources available to find out much if anything.
Regards,
Kathy