Thanks to everyone who offered suggestions (and I'm sorry that personal responses to comments are very few and far between in these last frantic days before the Stitches and Craft Show). There were some great ideas and I really appreciate the time you put into offering them up.
I have a shortlist of snappy names - but may need a bit MORE help to choose the winner...Is it a Kiss purse?
A Party purse?
A Date purse?
A Jazz purse?
Or.... ummmm...a Pop purse?
...Or a Poppet?
Edited to add: We have a winner! The pattern is ready to go... unfortunately my computer isn't. I shall do the big announcement at the next available opportunity. In the meantime, thanks for playing.... and we don't need any more name suggestions!