Medicredit, Inc Sent collection letter for an account that was paid St. Louis, Missouri

On 10/21/2010 I received a collection letter from Medicredit, Inc stating that I had an unpaid balance with St. Francis Hospital in Cape Girardeau Missouri and that the total balance of $101.24 was in Medicredit's hands for collection in full. I went to the hospital to find out what I owed for and they told me that they didn't know and that my account was paid. I contacted Medicredit and they said that they showed the account was paid but had not been credited to the account yet. I asked for a letter stating the account was paid and they stated that I should call back next week. Whether it is incompetence on the hospital billing dept. or incompetence on the part of Medicredit I do not know, All I know is the bill has been paid and that no one seems to be at fault other than me and I paid the thing.