The Goddess Flower are 5 patches of plants that increase your main character's stats if you stand on them for a while.
Location of the plants.
After some time these patches recover but only for so many times.
The plants can increase Luck, Strength, Speed, Magical talent, and Magical resistance.
Note: It seems that teleporting the group into another location and then going back to the island resets the plants without taking into account the time since your last meditation.