Sounds like a scam to me. There are rent to own homes, especially in today's economic climate but:
1. The owner of the home should be available to meet with you, show you the home, and review the paperwork in person.
2. Title transfers are generally done after the rent to own tenant has lived in the home for a number of months. No owner wants to transfer title to a home to an untrusted person who isn't even in posession of the home.
3. No prospective home seller or landlord would ask for your credit card number up front. They would ask for a cashiers check from a bank or perhaps money orders but not a credit card number.
Of the 3 problems I just mentioned, #3 is the biggest indicator you're being scammed. An individual would not be able to charge your credit card. Also, if an individual did have a way to charge your credit card, the bank would charge a large fee, probably 5-7% of the total amount. That's why money order/cashier's checks are used in real estate transactions, never a credit card.
These people are scammers. I'm sure they had you fill out an application so they have your name, address, phone numbers, and social security number. With your credit card number, they could then charge things to your card and have the items shipped anywhere they want it. Say they charge a laptop to your card and have it shipped to them. They can then sell it on eBay and make a tidy profit.
If you did give them your address, full name, etc. Now you're going to have to watch your credit report because they will probably use or sell your information for identity theft.