There are a large number of songs with the word "dog" in the title. Listed bellow, are a few. Note that this list is not inclusive.
The title of the song is Footlights.
Unfortunately no. You can however make a parody of that song title. And you might be able to if the song title is a generic word.
With a Song in My Heart (1952)
Golmaal Is Back Again Title Song 2011 This is all I could find...
£6.99 with sweet and sour sauce
For what its worth but Buffalo Springfield
glass onion
Silver and Gold
adagio
hang
Angie is the title of a song recorded by The Rolling Stones. Alfie is the title of a song recorded by Dionne Warwick.
No. There are songs that have the word deeper in the title but not one with only that word.