Well, again, there is no such Norton product, so at this point an authorized partnership with another vendor seems like the best possibility, if you got the name right.
I have, however, been able to locate some info on a Norton product called PC Checkup, on this Solved thread:
http://community.norton.com/t5/Norton-360/Norton-PC-Check-up/m-p/701693#M70457
However, if that is what you bought, it sounds like you should get a refund as you suggested, as it appears to be redundant to Norton 360.
V/R,
--DistEd2