I agree in with all the previous answers. It's tough (if not impossible) to get a traditional mortgage on a $35,000 home with a 500 credit score. However, I'll offer an alternative idea... If it's an individual seller (not a bank owned foreclosure), and this seller has the property paid for, you could ask the seller to finance it. The seller would be the one holding your mortgage, and you would make payments to the seller. Just a thought.
Just a word of caution, if you can work a deal like this, make sure you go through a traditional closing. You'll still want a title search, title insurance, etc. to make sure the home is free and clear of any liens, and the title is transferred to your name.