There is nothing wrong with asking for quick and cheap! How do we know this chap's wife is not a 'natural'? A lot of my training has been quick and cheap and as I was careful to monitor quality, the low cost (cheapness) was not an issue.
Lets not show these potential new recruits that we're a bunch of exclusive up our own arses closed shopkeepers and actually welcome them with some helpful advice and encouragement.
Price-wise its generally all much cheaper in the States. If she takes the ground exams before she goes out there then she'll stand a chance of completing the license in 1 month. Also, have her take a lesson or two back here before she goes as you'll need to have some idea of her level of aptitude before you commit to a time scale.
As for license, many of the schools will generally help you get both FAA and JAR(European) at the same time at very little extra cost. Whereever you live, she'll need access to aircraft she can fly in order to keep her license and stay safe and although you can fly in the UK on an FAA license, I believe you need to be flying a US registered aircraft.
Probably a better way would be to do the UK NPPL over here. Its cheaper than the JAR PPL (£3-4K vs £6-8k) and you can use it over here immediately. Also, I believe there is or will soon be a 'Sport Pilot' license in the US that is equivalent and should be easy to achieve should you want to fly in America.