Sorry but your way off. You missed the bottom line - that the electricity required to generate the hydrogen through electrolysis would provide more heat if used with an efficient electrical heater.
The energy is not free. You needed to purchase solar panels and set all that equipment up to collect it. There is a modest saving using solar panels (over grid power), which you lose in this inefficient conversion to hydrogen, and lose some more after converting your inefficient home heating to burn (and store) hydrogen.
Wouldn't it be simpler just to mesh solar panels to relieve our dependence on the grid ? or perhaps just to use energy more efficiently by using electric heaters instead of gas ? (150% saving with oil heaters)
Im not saying its a bad concept, you just are going about it with a mindset of supporting the current infrastructure which is impractical.
Perhaps you should search 'RAVI' on youtb.

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NEWS FLASH! Adam Sandler's British brother creates solar powered hydrogen generator!

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Nothing like 20 minutes of this guy mumbling and jerking the camera back and forth. And further, big deal... anyone can produce small amounts of hydrogen. The tricky part is large scale production and storage. Don't try that at home kiddies... hydrogen goes BOOM!

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Reply to #1:  Wow, I hope you're joking... water is H2O, so two thirds of it will be hydrogen and the other third is oxygen.

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he's collecting both the Oxygen and the Hydrogen into the same container. It would be more interesting to know how much of it was actually hydrogen.. I'm guessing not very much due to the low voltage.

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