HHO bbq

I'm fairly new to this whole HHO thing, but i've got alot of time and resources at my disposal. I've been trying to find some decent info on HHO generators and being able to use that hydrogen in a BBQ.

I'm trying to figure out just how much Electricity would be needed to create enough HHO to cook with for a small bbq, or even just a burner thats on the side of the bbq, is it even possible to get enough HHO from a generator to achieve this? to say, boil 3 gallons of water in a reasonable amount of time?
And even better yet, would it be possible to use solar power from a 32 cell panel (rated for 16 volts and 2 amps) to achieve this HHO generation..

Any thoughts or ideas would be greatly appreciated.

And keep in mind this is for a small application, a single burner or two and a consistent burn I mean I am actually looking to be able to cook with this :D