I am trying to remember an alternative song, and this info will be very vague.?

Hurt the dog, get the dog, grab the dog

Scratch my ***, scratch my ears, scratch my head

Please play with, play with me, play with me

Awe, but Jessie

It's cold outside, and I'm not coming home

I don't know where to be, when the morning comes

and Jessie you're a good dog, please don't follow me

Just go on home

I ran away, dog tagged along,

I lost the dog, it broke my heart

Please stay with me, and play with me, stay with me

Awe but Jessie

It's cold outside, and I'm not coming home

I don't know where to be, when the morning comes

And Jessie, you're a good dog

Please don't follow me

Just go on home

Jessie, don't follow me

Jessie, go on home

Jessie you're a good dog, such a good dog

Jessie You're a good dog, such a good dog

Jessie You're a good dog, such a good dog

Jessie You're a good dog, such a good dog

Jessie You're a good dog, such a good dog

by paw and the name is jessie

There was a song by an alternative band called Belly, and they wrote a song called "Slow Dog".....lyrics match pretty well.

Also the band Sublime's lead singer wrote a few songs that featured his dog, singer's name was Brad Knoll, deceased now. He loved his dog Louie, might sound like Jesse in the song "What I Got".

The song is called "Jesse"

The band is "Paw"