Wood ID please - good luck!

I have no idea what this is - it came from the garden of my great-grandmother's house, and I assume planted several decades ago. Not a native tree from around here. It's a bit punky but it needed cleaning up after falling over, so it went in the woodpile. Sorry I didn't get a picture of the leaves - they were round-ish with serrated edges and a pointed tip. It had a few small (3/4" long) brown catkins. It smelled a bit funny. It was about 15' tall (when standing) and the branches were very gnarled and twisty.

The woodpeckers, moss and lichens have done a number on it, so I hope this is still ID-able. Any idea?

Note: the wood behind is punky red alder (again, it needed cleaning up). Don't let that throw you off.

Cheers

No fungal galls. I didn't try rubbing it with my antlers, so I can't tell if that would give it red bark!

I cropped it to make it go a bit more close-up. All of the white is lichen I'm pretty sure. It had a fairly large stem - probably about 18" in diameter? Do birches grow in a twisted form? I thought they all went relatively straight up, but maybe there's a small shrub-like one that someone propagated for an ornamental species back in the day. What about a hazel? Do all hazel species have hazelnuts? The only one I know is the European hazel (Corylus avellana), and it's definitely not that, the leaves weren't big enough. I didn't see any hazelnuts, but maybe if it was in poor health it wouldn't produce?

There is a Lombardy poplar, a weeping willow, an English holly and an English oak nearby, so nothing really obscure.

Well, as my dad says, it'll burn! I'm happy to conclude it's a hardwood, so I'll keep an eye on the moisture level and try it out when it's dry enough. Our stove is about two sizes too big for our cabin in this climate, so we don't need a lot of heating value from our wood, which is why I'm still collecting the punky stuff. The stove size is great for heating up the place on a Friday night, but so far we've had to let it go out during the day, and toss a coin for whether we light it Saturday night. It's a learning curve for sure. At least it's easy to cool the place down if it gets too hot with the doors at either end of the house. And I learned this weekend that the bedroom stays cool if we keep the door closed, so I can keep the DH happy! Still really mild here though (not even a frost yet), so we'll see whether we can burn 24/7 in January...