Very typical problem. After sitting for an off-season there needs to be time to let the gas get back up into the line. That take pushing in the red button - sometimes for a minute or more. I use a long stem lighter instead of the peiso-electric sparker and keep it lit so that it lights as soon as the gas reaches the burner.
Th poof you heard means that gas has reached the burner but blew itself out upon ignition.
Every year I have to remove the burner and clean it up good. It can get a little rust or a spider might take up residence during the winter. (Same with the stove top). Once I soaked it in vinegar a few days and blew it out with my air hose (keyboard cleaner air will do too). If the flame is not 5 or six solid blue points of flame coming up from the burner (no yellow) the fridge will not get cool. BTW - takes overnight for the gas to get the fridge good and cold. I found the battery power on the fridge worthless (even when driving). Shore power works as good as the gas and is a fine alternative for the initial cool down.
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2009 Jayco 1206
2011 Toyota Tundra