There is no "hydrogen battery" in the literal sense, not that I know of.
Hydrogen is an energy carrier and can be stored, effectively acting as a battery. But nobody refers to this as a hydrogen battery.
Hydrogen can also be used as a fuel (ie burned) cleanly, but it is not an effective chemical reaction of releasing the energy potential that it carries – only something like 20% of the energy is converted to heat in this way.
It's a lot more efficient to use it in a fuelcell to convert hydrogen to electricity (efficiency is about 40-60%) and use that to produce heat (especially through a highly efficient technology like a heat pump where efficiency can reach 300%, but I'm getting off track here)
As hydrogen technology and its use become more widespread we could see the term "hydrogen battery" pick up traction even if not technically correct, but right now this is not a thing.