Guarantee is with the retailer by law. However the manufacturer will offer the same, direct, for things like appliances and consoles as it's easier.
To get warranty work done they ask for proof of purchase from a recognised distributor/shop, if it's an ordinary receipt with no details (name, CC details etc) of the original purchaser this can be passed on.
I have given the receipt to buyers on ebay before. Namely a PAYG phone bought from Argos. It was just a cash reciept - the phone was six months old, so had 6 months warranty left.