I don't have Allendale but I do have Alston Cumberland baptisms perhaps these are yours:
Hugh Walton bapt 28 Feb 1807 1st son of Thomas Walton, High Nest, Miner, by his wife Elizabeth d/o William Walton
William Walton baptised 20 May 1809 2nd son of Thomas Walton, Bridge End, Miner, NOTP, by his wife Elizabeth d/o Wm Walton
Mary Walton baptised 12 Sept 1811 1st daur of Thomas Walton, Bridge End, Miner, NOTP, by his wife Elizabeth d/o Wm Walton
Hope this helps, yes Walton's in the area are a dime a dozen

(have no idea of an English expression)
Janis