What state are you in, Shari. Check and Go has storefronts but most of their online loans are actually First Bank of Delaware loans and banks are exempt from most state laws. The others may or may not be licensed in your state. Let me explain.
1) First Cash Financial Services is a publicly traded company that has payday loan and pawnshops in many states. Not sure if they do online loans. But there is also a "Cash First" that is only licensed in Nevada.
2) There are two Speedy Cash's out there. One is a Kansas company that seems to be the only licensed internet lender in Kansas (out of the hundred or so that operate from there!) They only loan in a few states and have licenses there. The other is a Utah-licensed lender that doesn't have licenses elsewhere.
Payday One gets licensed in every state where it lends, except in a few states where the state accepts an out-of-state license (like PA until February 09) or in Texas where they do the CSO model.
Never heard of Solomon Financial, so they may or may not be licensed. You'll have to check with the local banking authorities.