Elle, Wikipedia contains some interesting portraits and pictures. This is a portrait of the count Karol Antoni Lanckoronski with his third wife Malzorgata, by birth princess Lichnowsky:

As far as I can read, it seems we was married firstly to Maria Leopoldyna zu Salm-Reifferscheidt-Raitz and secondly to Franciszka Ksawera Attems. But I believe his two daughters, Karolina and Adelaida, were born from the third wife, Malzorgata.
This is a picture of the count with the two daughters, also from Wikipedia:

He seems a fascinating man, indeed. I have read his daughter Karolina was a fighter against de Nazism, too.
I suppose you knew well all this "basics", but I´ll try to find more valuable info
