Sarah Gunn Kellogg and her youngest son Joseph Kellogg (born 19 Sept 1676) were both killed on 19 Sept 1677 in Hatfield, MA.
I was wrong when I specified Deerfield in my original post.
My Joseph Kellogg is not your Joseph Kellogg, but there seems to be a chance that you and I are related.
My ancestor, was Martin Kellogg (Joseph's father) born in Braintree in 1658, married Sarah Dickinson in 1690. So, yes, we are probably related. Howdy cuz!