Update: Our friend at the CW confirms that Reaper will be going into the schedule Tuesday at 9. Confusion over.
In contrast the the thrfeed.com report that Reaper would take Privileged's 9pm Tuesday slot beginning in March (also on ew.com), TVWeek is reporting that Reaper will take Supernatural's Thursday 9pm slot.
As for Thursdays, “Smallville” and “Supernatural” return with original episodes on Jan. 15. Starting March 17, “Supernatural” takes a break and is replaced by “Reaper.” Friday comedies “Everybody Hates Chris” and “The Game” begin their winter seasons Jan. 9.
Not sure who's correct at this point, I will email our contact at CW directly.