Drew's dog is a mongrel, I think. Here is all I could find, from Salon.com of February 21st:

AND SPEAKING OF DOGGIE DEVOTION

Drew Barrymore and Tom Green apparently have their dog, Flossie, to thank for saving them from the fire that engulfed their Los Angeles home and left it a charred ruin early Sunday morning.

When flames broke out around 3:30 a.m., faithful Flossie barked and, according to Barrymore's spokesman, Eddie Michaels, "literally banged on their bedroom door," allowing the affianced couple to escape unharmed.

"We're great," Barrymore told reporters at the scene, according to the Associated Press.

"Other than the fact that the home burned down," Green added.

Well, yes. There is that.