It might seem hard to believe but there are some people that have put up websites asking for money and have actually gotten money! Of course there are a number of these kinds of websites on the Internet and not all of them are making money. I even saw one website by a guy who offers to put advertising on his chest for a donation/fee. Others have done the same thing in that they offer advertising on their page for a donation or fee.
It really doesn't take too much to put up a website and do the same thing although I can not vouch for how much money you would actually get. You can get a free website and put your information on it, figure out how you will have your money sent to you (a lot of people have used Paypal). I guess one of the harder parts would be coding your website itself. If you have never done it before it can get pretty frustrating figuring out the right html coding to make your website look just the way you want it.
Do I condone this kind of thing? It's really hard to say. I believe that everyone should work for their money. But having a lack of money has caused people to come up with some very unique ideas for getting money.