I must know this song name, early 90's, roughly, Da da da da...more, in details.!

I must know this song name, early 90's, roughly, Da da da da...more, in details.?

All right...the song is sung by a female artist, and for much of the song, she just repeats the sound "Da da da da, da da da da, da da da, da da da da da." several times, with lyrics along the lines of "There's a woman on the outside, looking inside, does she see me? No, she does not really see me, she's just looking at her reflection." I must know the name of this song, because it is driving me insane. Even worse than forgetting who wrote "Take on Me" (I remember, now).

Tom's Diner by Suzanne Vega