There's a website called

behindthename.com

which says that Vreneli is a diminuative for the name Verena. Makes sense to me. Though why the Swiss decided the woman on the coin was named Verena is beyond me.

The li ending is the Swiss equivalent of the German lein, meaning little. Remember Schwanli (little bear) and Barli (little bear) in the book Heidi? They were goats.

I wonder if the Swiss pronounce their V like our F, the way the Germans do. Should we be singing it Freneli?