A few people have mentioned that its not all that easy to navigate the North Yorkshire County Council Web Site to find election information.
In fairness, there’s a lot of information there and its needed for many different purposes so its almost inevitable that the information isnt always easy to navigate so as to find the information you want.
So here’s a bit of a summary:

Middle Dales Ward
North Yorkshire County Council
The County Council comprises 72 seats, covering 68 electoral divisions (Wards).
The electoral divisions for Harrogate, Bilton and Nidd Gorge; Harrogate Central;
Knaresborough and Selby Barlby are each represented by 2 elected County
Councillors, whilst each of the other 64 electoral divisions returns 1 County
Councillor.
Finding out which Ward covers any particular area isn’t all that easy but Constable Burton is located in the “Middle Dales” ward. See Map above and in more detail here
Results – 2013
All the Results are listed here
And in More detail for Middle Dales here
You can even see detauiled results going back to 2009 and 2005
This is how the overall political map looks today.