I had posted a memorial for findagrave.com (from a cemetery in Boise ID) and another researcher asked me to link this to her mother, Elizabeth King Thompson, buried in Missouri. This memorial for Elizabeth listed father as Michael King and mother Anna Burch. http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=21222036http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=21222036
Since I have some Kings in my family, I looked up this King family. It is not mine, but I found the 1870 census listing Michael and Anna plus Martha, George and Mary and a 16 yr old Rebecca Burch in Green Co. Indiana.
It looks like this might be a link to your family.
I also noted some Civil War Records of a Michael S King from North Carolina (found via Family search.)
I hope this will help you or will fill out your family tree.