I just chanced upon this post from some time ago.
Most of the Tates buried in Kirkandrews on Esk...in fact probably all of them.... belong to my husbands family. I have never come across the surname Tinniswood as related to the Tates that I have researched so far.
Having said that there are two Robert Tates that still remain a mystery and I haven't as yet determined how they fit into my husband's family.
Walkabout.......have you discovered anything further about Robert Tate and Elizabeth Tinniswood since you first posted your original inquiry? Hopefully you are still around and still researching
mab
