What are Chimney Cakes? Delicious, freshly baked Hungarian pastries that are crunchy on the outside and fluffy on the inside. They are rolled out and wrapped like a ribbon creating a “chimney” look. Eva’s Chimneys are rolled in cane sugar and then filled with ice cream. A Chimney Cake from Eva’s is the perfect treat on a hot summer day. Next time you’re in The Annex, be sure to stop by! Check out the Eva's Original Chimneys cashback offer today.