Perhaps this is what you are looking for. It's an episode from the original Twighlight Zone series.
I SING THE BODY ELECTRIC
Writer: Ray Bradbury
Director: James Sheldon
Cast: Josephine Hutchinson, David White, June Vincent, Vaughn Taylor,
Charles Herbert, Dana Dillaway, Paul Nesbitt, Susan Crane,
Veronica Cartwright, Judy Morton
A girl comes to understand that a grandmother can be a tender,
Thoughtful, caring, loving woman. Even if she is a robot.
http://www.postdiluvian.org/~seven/f...wighlight.html
BTW
You can get the epsode at this site:
http://av.rds.yahoo.com/_ylt=A9ibyKS...ne_Vol._7.html