Grumpy seems to know both her and the the ice cream shop. Or at the very least, doesn’t think it’s weird that the IQ is there. If she was only brought over in the second curse, Grumpy and others wouldn’t recognize her. Think Zelena here: “I missed the first curse,” and thus Snow and others don’t know her when she shows up in SB with them for Curse #2.
Now with THAT said…the second curse DID provide Zelena with a house and clothing so it’s not outside the realm of possibility that the second curse would do the same for the Ice Queen.
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"He was a lot of things to me" "The only conclusion was love"