If anyone is interested in teaching English then check out
http://www.eslcafe.com/. It's a great place to start and will give you an idea where there are lots of jobs and what pay you can expect. Remember, what might sound a little in US/Europe terms, may well actually be a lot in the country you're living in. For example, I earn roughly US$ 2,500 a month, but then I only pay $350 a month in rent for a nice four bedroom apartment in the centre of town! I eat out, I go out for a few drinks, I go on holiday, I own a car and motorbike, and I'm still saving US$1,000 a month. As a teacher in Taiwan, I get 1.5x as much as a Taiwanese doctor with five years experience! Crazy, huh?
Here's my run down on Asia. Overall, you'll probably need to live in the big cities to get good, well paid work. You'll need to at least have graduated for most countries though. This is aimed at those who have no teaching degree and no experience. Obviously if you have one or both then there are a lot more options available.
I'll leave my perceptions of what's it like to live in each country out as everyone has a different experience, although places like Singapore and Hong Kong are easier due to their British influence, so there is less of a language barrier, whilst other places like Thailand are also used to dealing with tourists, so may be easier to live in.
Japan - high pay, but very expensive to live. Quite a lot of competition for jobs as people want to experience Japan.
S. Korea / Taiwan - good pay and cheaper living expenses (although they have started to rise). Slightly more off the beaten track, so easier to find work.
China - has been booming recently, but pay is lower than S. Korea and Taiwan, and the cost of living (especially rent in cities like Beijing and Shanghai) has risen fast with its economic boom.
Singapore and Hong Kong - medium salaries, but high costs of living. Very competitive, and you'll probably need extra qualifications/some experience to teach there.
Thailand - low pay, but low cost of living. There are always lots of backpackers stopping here for a few months, so teaching English is an easy way to make money. So lots of competition keeps wages low.
Vietnam - this is the latest boom country, with lots of people heading over there as it develops and people want to learn English. Good pay, and cheap living costs.
Cambodia - would like to be booming like its neighbor, Vietnam, but hasn't quite happened yet... watch this space
Malaysia - not many opportunities as everyone is taught English in school by local teachers.
This is only a brief overview of what I know through friends and some personal research. If you're interested then take the time to research thoroughly.
BTW - just to add to my last post. If you find someone you can travel with for more than six months, MARRY THEM!

If your relationship can handle more than six months of backpacking through weird and wonderful countries, then you'll probably ready to handle anything else that life throws at the both of you.