If there were any, Germanium would definitely earn a lot more royalties than Polonium, Francium, or Americium.

I'm afraid that the answer is "no", just as for Poland and Polonium or France and Francium ;)

germanium was the original material used for solid-state transistors before silicon. Si is much cheaper than Ge, which is why we use Si nowadays. But Ge has always been compatible. Its getting it to lase usefully which has been the sticking point.

Does Germany get any royalties for any use of germanium?

are germanium atoms sausage-shaped then?

for Germanium mines' stocks :)