Birdcalls? Hmmm, I did get to play a very old anglo concertina. It was built around 1900 and used on the stage. It had one button, on a pull it sounded like a little birdie, on a press it sounded like a baby crying. I wish I had bought it. It is much better than the one I play now.
BTW: Anglo concertinas play just like a hamronica. Just buttons instead of hole and a few other simple things. If you can blow a harp, you could play a concertina. Same order of notes.