Right now, you will not get a loan with the market the way it is without a chunky down payment.
If you deposit your earnings in a bank account, that can be proof of income. You can provide your last three to four monthly bank statements as proof. Coupled with a good standing account with a decent balance will do the trick.
Back to your credit score, you need to start taking measures to improve that score to at least a 660 and above. I wouldn't even look at getting a home loan without a 20% downpayment until that score is up to par. What I suggest is that you get a copy of your credit report, examine it, and check out the answers given concerning credit improvement on this site.
Even with a credit score of 660, lenders will dig into your financial situation until they find the dollar you lost on your first paper route. So you have two options: improve your score (which does not take long to do) and/or be ready for a hefty downpayment.