My sister and I watched this movie when we were young and we remember the title to be love me tender. All we can find is the elvis movie. It's about a teenage girl that has a terminal disease and writes letters to elvis. We watched this in the early 80s.

It's called "Touched by Love"

Touched by Love (1980) (http://imdb.com/title/tt0081646/)

Maybe it was Touched By Love?
Touched By Love (http://www.elvisinfonet.com/lenacanada.html)
Touched by Love (1980) (http://imdb.com/title/tt0081646/)

*edit*
You beat me to it, JohnSnownw :)