As Jim mentioned, please contact a lender before doing anything yourself about your credit. The reason is that lenders are experienced in these situations and you wouldn't want anything done that would negatively effect your credit.
I am a licensed mortgage lender in Illinois. If you have further questions on the lending process, please do not hesitate to contact me at the below email/phone number.
Good luck to you.
1st Step Mortgage Group
6876 Spring Creek Rd. Suite 124
Rockford, IL. 61114
Beware of anyone offering to "repair" your credit! The Federal Trade Commission issued a stern warning last year that such offers are scams. Find more from the FTC HERE. http://www.ftc.gov/bcp/edu/pubs/consumer/credit/cre13.shtm
The good news is that this will not affect your ability to obtain a mortgage. Your two credit scores are in the upper range and will qualify you for some of the best programs available.
As far as fixing your credit rating with Trans Union you will have to continue to work with Trans Union directly in order to correct the information.