A nickname for a suspicious handcloth, which is mostly like used as a cumrag to clean up baby gravy after masturbation.
The name is in reference to Dr. Conrad Murray, Michael Jackson's prosecuted doctor who was involved within the key drug scandal that led to MJ's death.
Brother 1: "Scotty, how's Cumrag Murray these days?"
A female that you can fuck, jizz on or in (See also: Cum Dumpster), and toss her to the side because she meant nothing more than for you to bust your load.