C. Whitehouse and sons were listed as an exhibitor at the 1937 British industries fair, their listing included Augers, Axes, Braces, Bits; Bricklayers', Blacksmiths', Butchers', Carpenters' Contractors' colliery, Miners' and Garden Tools. Hooks, Hammers, Hoes, Chisels, Handles, slashers, Trowels, Vices, Cramps, Wedges, Adzes, Hatchets, Forks, Spades, Shovels, Picks, Mattocks, Rakes, Parangs**. (Stand No. A.727)
Their address is listed as Cannock Edge Tool Works, Cannock, Staffordshire.
Here is a list to a PDF of their catalogue
http://issuu.com/artsklad/docs/cornelius_whitehouse_catalogue from 1952, looks like your axe is listed in section 8 item code 118A.
Sorry I can't help with an exact date.
Matt