Partridge or Grouse maybe?

Was walking yesterday, heathland in Dorset, Saw about eight birds, larger than thrush and smaller than crow.

Quite upright.,

Seemed to be Partridge or Grouse?

Didnt look like fieldfare or redwing to me.

They scuttled along and when they flew off it as a low trajectory and they were very vociferous in a potential alarm call (when they saw me).

Bad photos but heavily cropped.

One had fairly distinctive grey neck band and reddish tail feathers.

Any ideas>?

Many thanks for any expertise.