Well, I'll digress a bit and wish you a great holiday there. With a few recommendations
Hambleton Hall Hotel costs a bomb normally- but Mon to Fri they do a lunch for less option. Still expensive, but what a place.. with the best views of Rutland water and fabulous food and setting.
Barnsdale Lodge is also excellent for lunch in the Conservatory!
As mentioned above ' cream tea or lunch at the George in Stamford (with a visit to Burleigh House first) is fantastic.
And a Michelin * pub, the Olive Branch, just a few miles from Barnsdale gardens!
Or in Oakham, a fabulous tea house, with great lunches and teas/cakes, just behind the Church, in a lovely cottage with walled garden.
A visit to Rockingham Castle is fantastic, and so is the wonderful Cotton Manor Gardens. Enjoy!