The name of the song is definitely Creep, and it's by STP. I am a huge STP fan, and I've seen them live, and I have the album Core, by STP, which the song Creep is on. Scott Weiland, former STP lead singer, co-wrote the song!

Creep by Stone Temple Pilots
Music by R. DeLeo/Words by Weiland, R. DeLeo

Forward yesterday
Makes me wanna stay
What they said was real
Makes me wanna steal
Livin' under house
Guess I'm livin', I'm a mouse
All's I gots is time
Got no meaning, just a rhyme

Take time with a wounded hand
'Cause it likes to heal
Take time with a wounded hand
Guess I like to steal

I'm half the man I used to be
This feeling as the dawn
It turns to gray
I'm half the man I used to be
This feeling as the dawn
It turns to gray

Feelin' uninspired
Think I'll start a fire
Everybody run
Bobby's got a gun
Think you're kinda neat
Then she tells me I'm a creep
Friends don't mean a thing
Guess I'll leave it up to me

See also:
JustSomeLyrics
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Eels My Beloved Monster Lyrics
Jason Wade You Belong To Me Lyrics