An EF-111A Raven was credited with a "kill" during Desert Storm in the same manner. On the night of January 17, 1991, an Iraqi Mirage F.1 flew into the ground while chasing EF-111A serial number 66-0016. Even though the Raven is unarmed and has no air-to-air capability, the Raven crew was given credit for the kill.
I think i "saw" this on History channel, they reconstructed the incident on a prg called Dogfights in season 2. Im not sure of this since it was some time ago i watched throu season 2, but it sounds so familiar now when you mentioned it.
It DOES sound familiar... What i wouldn't give not to be the Mirage guy. Haha.