My shower tap does not have a name on it. All that is stamped on it is
CSA LM 103323
Is anyone aware of the brand so that I can get replacement parts?

Does it look like any of these? T/P Thermostatic Mixing Valves, Bath and Shower Products - Powers (http://www.powerscontrols.com/pages/products_browse.asp?parCat=2190&catId=2203)

Or this

Old Fashion Faucets - Tub Faucet 850CSA (http://www.oldfashionfaucets.com/tubfaucets/850CSA.html)

Post a picture of it

Milo