Popularity:
The name Leann ranked 719th in popularity for females of all ages in a sample of the 1990 US Census.
Though this name has fluctuated in use, it has been quietly present throughout the last century.
Narrative:
This could be a compound of Lee and Ann, or a variation of Lianne. If the latter, it could be a short form of Julianne, or could be derived (rather distantly) from the French name Eliane.