@Maggie G.
I know this is off topic from your refi question but,
Getting started with $5K isn't as bad as it sounds. You could find a 2-4 unit property, live in one unit, that opens the door for owner occupied financing, maybe an FHA loan with 3.5% down ($5K/3.5%=$145K). Your in Illinois, there has to be some thing you can get for $145K. If you buy right you might be able to live for free (house hacking) or even make a little each month. Use the extra money (from living for free) and fix up the property over time. Once you have some equity (possibly right from the time of purchase if you paid less than it was worth), you can refi, pull some cash and buy another. You could rent the unit you live in and move into the next property (owner occupied is great for financing).
The other option is a private loan from friend or family. Many folks start that way. You just need to brush up on your deal analyzing skills so you can, a: recognize a deal when you see it and B: Sell your investor (Mom, Uncle, whoever) on the numbers and be convincing enough that they believe you can pull it off.
Your just getting started so have an open mind. It IS possible, many have done it with no money and no credit. You just have to be creative and know your numbers (takes time looking at lots of properties)!
Goodluck!