Songs about pets:
"Lucifer Sam" by Pink Floyd (Cat)
"Fire" by Jimi Hendrix (Dog)
"Death of a Martian" by Red Hot Chili Peppers (Dog)
"Quiche Lorraine" by The B-52’s (Dog)
"Shannon" by Henry Gross (Dog)
"Ben" by Michael Jackson (Rat)
"Martha My Dear" by The Beatles (Dog)
"Jet" by Paul McCartney (Dog)
"Me and my Arrow" by Harry Nilsson (Dog)
"Old Shep" by Red Foley (Dog)
"Me and You and a Dog Named Boo" by Lobo (Dog)
"Neighbourhood #2 Laika" by Arcade Fire (Dog)
"I Love My Dog" by Cat Stevens (Dog)
I wonder about some of these... Jet for one?