The Show Was American One, It Was About A Teenage Girl Who Lives With Her Mother. Her Father Is An Alien And She Talks To Him Through A Prism In Her Bedroom. What Is The Title Of The Show.

The Lyrics Of The Theme Tune Are

"would You Like To Swing On A Star, Carry Moonbeams Home In A Jar. Or Would You Rather Go To Earth. An Earthling's A Creature As Great As Can Be...."

I believe the show you are referring to was called, "Out of This World".

Out of This World TV Show Cast

Hope this helps.