Hi there,
Welcome to RootsChat.
Sutherland is a large sparsely populated county in the far north-west of Scotland. Peebles is located south of Edinburgh and as the crow flies from Sutherland you are talking about maybe 200 miles. Unless a Murray family owned estates in both places, the chances of a connection are limited. I have been to Cringletie House - a long time ago admittedly, good restaurant, lovely house, superb location.
Nell