The Benelux Royals Message Board: Polish connections

I read, in a biography of Fryderik Chopin, that George Sand had a touch of blue blood in her ancestry -- being descended (albeit through an illegitimate line) from Augustus II, Elector of Saxony and King of Poland. Of course, this does not mean that she had Polish ancestry (since royals often are not natives of the land they rule or reign over).

But her famous lover was half-Polish in blood -- just like the present queen of the Belgians. In fact, like Mathilde, Chopin had Polish ancestry through his mother. Indeed, like Chopin himself, the queen's maternal relatives are Poles living in exile. But they clearly belong to the upper classes, since they are mid-level nobility (the comital rank, Queen Mathilde's mother having been born Countess Anne-Marie Komorowski).

So this got me wondering: since Chopin's mother (born Tekla Justyna Krzyżanowska) was also of noble birth, are there any possible genealogical connections between Chopin and the Belgian queen?