I had an antique quilt that was made in the 1930's that had that border. I did sell it to a lady in Australia, when finances were tight but I never knew until I googled the name "ice cream cone border" that it was named that. Here is a picture of that quilt. I always loved the border but it looks like an awful lot of work.
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Maybe it might not be the same but it is very close in my opinion.