It's called "situs inversus". This woman's condition is rare, but hardly unique.
http://www.biologydaily.com/biology/Situs_inversus
That is what I was thinking. In the case of identical twins it isn't unusual for one of them to be the reverse physically of the other. This woman may have had a twin who died in the womb without the mom ever realizing it.
Thanks for the link - a bit of education is always a good thing.