I've found a picture of the box on the Singer Yahoo group - it says it's for the VS2 fiddle base singer. The tucker and the ruffler don't go with the box, they go with the second set.
Now I'll have to be watching for the pieces that complete the box set - this is how it always works. I bought it for the "Singer" marked box, now that I've found out more about it, I want to complete the set. I've seen the ruffler, shir plate and underbraider on ebay at times. I don't think I've ever seen the tucker.
Many of these were not sold in the US market as " we" got the wooden puzzle box sets, not the metal tin sets. Often times they are cheap enough bought from a European site to afford the shipping.