It's a pop song from the '40s or '50s:

I don't want to set the world on fire,
I just want to start a flame in your heart.
In my heart there is but one desire,
And that one is you, no other will do.
I've lost all ambition for worldly acclaim,
I only want to be the one you love,
(two more lines of the bridge that I can't remember)
I don't want to set the world on fire,
I just want to start a flame in your heart.

Another of the old coots here can probably supply the missing two lines.

--seed