vickster
Squire
How elderly is elderly? Old people find new stuff very impenetrable. On the other hand, tablets are about as intuitive as tech gets. I think the suggestion above of somehow getting them one to play with for a couple of weeks and see how they get on is a really good one. If they get the hang of it, I don't think there's a whole lot to choose between the big names. Kindle HD, Google Nexus, Samsung etc. If they can get their heads round (and their fingers happy with) the whole tablet experience, they'll be happy with whatever you get them. If not, you'd be better of getting them a new laptop.
Mum is 69, dad 72
I could lend them my iPad for a bit...cold turkey

A small laptop might be a better option, but they need to sit at a desk to use the mouse which can be restrictive. I like the tablet + stylus option