I wonder if "My Name is Zoe" should be considered Zoe's trademark song, just like how many other characters have a trademark/signature/best-known song (Ernie's is Rubber Duckie, Bert's is Doin' the PIgeon, Elmo's is Elmo's Song, I'm not quite sure if Grover's is Over, Under, Around, and Through, Proud of Me, or Monster in the Mirror).
In fact, I didn't really know about that song until a few months ago, when I first saw a still from it on the cover of the 40th anniversary DVD, and shortly afterwards when I first saw it on the website, and sometime after the DVD came out it hadn't occurred to me that I didn't know of any song that should be considered "Zoe's song" (hmmm, does Rosita have such a signature song? There is the song that's simply titled "Rosita", which was a duet with Little Richard).