Could be Boogie Woogie. How tall is your lily and how old was it when you took your picture? B/W is a good 4 to 5 feet when established. Below is a picture of B/W in my garden taken a few years ago.
It could ajso be another lily that goes back a few years, called Porcelain Doll shown in the second picture. It too, can develop a pink edge and reverse if conditions are right. The flowers are just a little smaller with just a little heavier petal substance and maybe a little more of that 'old fashion garden' look about it.
