I'll add my tuppenny worth to what's been said and suggest that it could be that if you have been cutting your own blanks or if the wood is part seasoned the heat issue could be exacerbated by a high moisture content in the blank. I would do exactly what you have previously done with some known kiln dried heavier fine grained woods and see if the same thing happens. I have turned a couple of thousand pens but don't recall turning Birch.I used it once in the day job (Architectural woodwork) - about three tons of the damn stuff. Left the factory having been properly dried, straight as a die, turned up on site next day looking like it had come from a banana plantation. Bloody rubbish, horrible stuff, the only use for the stuff is for hardwood lippings on drawer fronts, - stuck to something else that's not going to move like Mo Farah.
Bin the birch and try again!