Therein lies the problem;it's all semantics!
As a northerner (and proud or it!) there are grills: gas, charcoal, whatever and you grill> ie cook meat or veggies.
Then there is BarBQ which is generally beef,pork or chicken that is cooked over seasoned wood (apple etc) and smoked...the meat can have a dry rub first or be cooked au natural. When cooking is done it is served/smothered with the BarBQ sauce.
Even in the cold north there are restaurants that specialize in barbeque and are often quite good!
I haven't tried any but KC is reported to have great barbeque.
And YES, there are rumors that TX has great barbeque too!