Growing Morning Glories: How To Grow Morning Glory Flowers Morning glory flowers (Ipomoea purpurea or Convolvulus purpureus) are a common sight in many landscapes and may be found in any number of species within the Calystegia, Convolvulus, Ipomoea, Merremia and Rivea genera. While some varieties are described as noxious weed in some areas, the fast-growing vining plants can also make lovely additions to t