I went to elementary school in the Miami area during the 70's. They use to play that song on the TV before morning announcements. The song is still stuck in my head. I sing it to my kids sometimes before bed. The lyrics I remember is a little different from yours.

I want to wake up,
In the morning,
Where the orange blossoms grow.
Where the sun comes peek'n
Into where I'm sleep'n
And the songbirds sing, "Hello".

I love the fresh air,
And the sunshine.
They're so good for us you know.
'Cause I make my home in Florida,
Where the orange blossoms grow.