Lyric discussion by Mufansic 

For those of you who take this song literally and think its about a girl named "Mary Jane", shame on you. I mean if you look at the music video for one its about some dead girl who got zipped up in a laboratory and brought home. The song is by Tom Petty not Jeffery Dahmer. It clearly shows sealing up weed.

"She grew up in an Indiana town" Ever hear of Indiana ditchweed?

"But she grew up tall and she grew up right" Referring to the plant itself and how well it grows.

"I was introduced and we both started groovin'" Referring to him smoking the plant and getting into that stoner groove or mindset.

"Last dance with Mary Jane One more time to kill the pain I feel summer creepin' in and I'm Tired of this town again" Killing the pain refers to the physical effect marijuana has on you. And I think "tired of this town" is kinda that need to escape and get into a different mindset that stoners would.

"Well I don't know what I've been told" This part refers to a lot of common belief people have on weed like its all wrong and stuff. This part of the song sounds a bit stressful, which makes it perfect to smoke some weed, which a lot of stoners do.

"There's pigeons down in market square She's standin' in her underwear Lookin' down from a hotel room Nightfall will be comin' soon" This probably refers to an actual experience Tom Petty had, where he saw weed somewhere and it felt so right to try it, but he was trying to resist it.

Spot on, see my comment for some other weed references.

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