Herb,
You have received lots of good advice--here is my 2 cents worth . I have used many makes and all do the job...especially for e-mail & web browsing--some are faster. lighter and some seem to need little repairs. (Dell, Acer are good for me-- HP has expensive proprietary parts)
One consideration is the way you will interact with the computer--i.e., Windows or Apple OS. I used Windows for many years -- My 5+ Dell laptops were very good--especially if you get the "Lattitude" model and the in-your-home repair option"--i.e, don't have to mail your computer and all your data to a repair depot.
I switched to an Apple (MacBook Pro) 2 1/2 years ago and I found, for me, it was a superior computer (easy to use, great screen, few viruses, etc. (Note: Apple is more expensive than typical equivalent Windows versions)
If all you REALLY want to do is e-mail, and surf the web with a good screen, then check out an Apple IPad with Wifi and 3G (for Internet via cell phone like link--here it is about $30 per month.
It is an option I am considering for my travels (Maui each year) --but it has some limitations such as no hard drive.
Finally, if you are only going to use e-mail and browse the web a $300 Acer or other NETBOOK may well meet your needs--back it up and recyle if it fails (unlikely)
good luck--whatever you choose it should handle e-mail & web browsing well.
Cheers,
Terry
(Fredericton, NB Canada)