I normally like to add a latin name as well (just so the whole world knows precisely what we're talking about, in case they don't have it, or call it something else), but I didn't this time. So I'm glad that you know that the birches are Betula.
Some of them will probably grow. I used to have a silver birch tree, but it was taken out years ago (replaced with a Mountain Ash / Rowan / Sorbus aucuparia which is smaller and more suited to the space). I still get silver birch seedlings though - don't know where the seeds come from - they usually germinate in my pots of carnivorous plants which are outdoors and soaking wet the whole time.
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Silver Birch does seem likely. The original plot name was betula. It must be blowing in from a next door neighbour. Thank you.