Let's not further confuse the original poster.
There are so many different ways to do alemana. Different teachers will show you yet another fine techniques to do this turn in a different way. As to 3 alemanas then you will involve other techniques with spiral turn, switch turn, lady turn left, lady turn right, etc.
As to the terminology of "alemana" that was coming from a spanish word(phrase) makes more sense to me. I tend to believe originally some teacher was using the phrase "a la mana" which just simply was called to do the "under arm turn". Somehow over the years the term had became "alemana". Just think many of the dancing terminology were quite silly indeed such as "cucaracha", "Kiki walk" or "Turkish towel". :)