Your query was forwarded to me by Gloria Labbee. I do not have the answer for you, but I have just started to go through different children.
If the name was Cates and not Cate, then she had to be of either
Edward Jr's line or Joseph Cate-Cates. Both men added the S to the
name. Edwards line is of Harrison, Machias, etc., of Washington
County. Joseph's line is of Gorham, Hancock Co. Then there were
Cate and Cates in Somerset Co., but not many. This would all be
of the line of James and Alice Cate of NH. James immigrated to this
country in 1635 at age 11 with his 3 brothers. It sounds as if she is
of the line of Edward Jr. Edward Sr. was known as Cate and sometimes Cates and was the son of the 1st James. I do have parts of this line only. Email me, if you have any other information
that I could use to see if I have who you are seeking. The name
Merchant is now firmiliar to me.
Doris Cates Budde firstname.lastname@example.org