NO, a Dirty Sanchez is performed when a male fingers a female's ass and wipes the reminants on the female's upper lip. What you referred to below, when a male inserts his penis in a female's ass then transfers the fecal matter from his penis to the female's upper lip is the Dirty Rodruigez, the first cousin of the Dirty Sanchez. Don't feel bad though, they are commonly confused.
"I was there when DaMarcus Beasley scored that beautiful goal on Dirty Sanchez and the US went on to beat Mexico 2-0 in Columbus and qualify for the World Cup."