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
Augusta, 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...