You can surely follow her relatives down the lines, look what I found just by doing that.
You can try to pick the rest of them.
Died of cancer of the throat at age 52
Princess Augusta von Sachsen-Gotha-Altenberg, Princess of Wales
Lung Cancer
Mary of Teck
Lung Cancer
George VI, King of the United Kingdom
Have you done a DNA test as you can upload your results to Prometheas for a health report which covers cancer. This is quite extensive and costs $5. I would imagine 14th cousins would probably mean you wouldn't inherit anything from them based on the fact that you only inherit 50% of DNA from each parent and this gets less the further you go back.
I don't think cancer is related to the genes that we are inheriting from our ancestors.
My understanding is that cancer is an Acid Dis-Ease: https://docs.google.com/document/d/1eJsKpgj-e9W4y_sPihlNL3p1akP7PJY...