Unable to get a mortgage? As we all know, that list is growing every day with the increased credit score minimum and tight lending practices. Rather than focus completely on credit history for potential renters, consider other factors:
Do they have a good job history, did they have a major life change (divorce, lost a spouse, relocated to a more expensive area,etc.), what are their earning ratios compared to rental output?
Then you can make a better decision if they are a good tenant candidate. There are plenty of "good" people who either prefer to rent or just cannot obtain a mortgage right now.
Marilyn, you are so right about the "Truth in Renting" laws siding with the tenant. Amazing how banks can kick out an owner relatively quickly while tenants can occupy someone else's property many, many months for free.