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Tom Waits – Tom Traubert's Blues (Four Sheets to the Wind in Copenhagen) Lyrics 12 years ago
I just want to throw something out here. The meaning of Matilda is most likely a reference to Tom Waits' night on the town with Danish violinist Mathilde Bondo. After a TV concert in which Bondo played violin during Tom's songs, he asked her to show him around town.
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Though this is still speculation as Tom Waits' has never confirmed, nor denied this.
However, in a concert in Sydney, Australia on May 2,1979, he introduced this song by saying:
“This is a song here. I kinda borrowed your unofficial national anthem on this whole thing. I'll give it back when I'm done. I met this girl named Matilda. And uh, I had a little too much to drink that night. This is about throwing up in a foreign country.” (Extract from a transcription of the live performance)

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Tom Waits – Tom Traubert's Blues (Four Sheets to the Wind in Copenhagen) Lyrics 12 years ago
I agree with most of your analysis, but i just have one bone to pick. Its likely he IS saying Stacy's, a reference to the famous dress shoes. At the time the song was written these shoes were more well known, and owning a pair was a sign of prestige. What he is saying there is that he is so wasted and depressed that he could care less about ruining his expensive shoes.

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