We had the largest, dual burner Magma mounted outboard on our flying bridge, an with age it too developed the flame-going-out problem. It was quite exposed and had a lot of use over 5 years, several times a week. Anyway, I was going to make a winter project of rebuilding it; in the meantime we bought Weber Q at Lowes one size up from the Baby, with a thermometer on the front. A dock neighbor had one on his Defever; he had bolted it to a piece of starboard then had that in turn bolted to some Magna rail mounts. He really touted me on it, and I had read good reviews on another boating forum. We never have got around to rebuilding the Magma, the parts come to about what I paid for the Q.
The Q is a simply great grill, stands up well to wind, very adjustable, etc etc. Note that Weber explicitly says it is not for RV or boat use. I am not sure why they say that other than perhaps the mounting issue. Highly recommended.