Looks like everyone is correct concerning 'barbecue', including us Canadians ... the following is a definition of barbecue from Merriam Webster:

1 : to roast or broil on a rack over hot coals or on a revolving spit before or over a source of heat
2 : to cook in a highly seasoned vinegar sauce

Personally I'd rather barbecue or cook on the 'barbecue' without any sauces ... marinating before hand I do, especially fish.

sIx