I found this information on the 1910 Census when I searched William McKay and wife Nancy
Also this:
And this:
As you can see there were several Williams McKays married to Nancy and having children named Minnie. I found this information on Familysearch.org in the census search. You may have more information that what you have given me such a dates that may you link you to the correct person you are looking for there. Hope this helps some!