[Software] No, not Flamenco dancing shoes. I think we covered that earlier.
[GL] No, not line dancing per se, though I believe there have been instances of this type of dance which involved lining up for a set of choreographed steps.
Here's a recap of what we presently know: the words on the card represent a type of footwear worn all but exclusively by women, while dancing in a particular way that is associated with another particular type of performance that is most closely associated with the United States but which also became associated with another country when performers from that country made a very strong contribution. Drums and tambourines drew favorable responses from the audience, which could suggest that what distinguishes the style of performance or dance is its rhythm or beat. You may also wish to consider that the kind of clothing worn on the foot is not always called a shoe. :-)

[irach] No, not related to belly-dancing.

[irach] No, not connected to salsa, mambo, cha cha, tango or any other Latin-identified style.
(I'm getting the feeling that the words on the card never made it too far outside of the U.S.)