Need a badge for my .... Westfield junior motorbike ... ???? AKA help identify

[Cheezer]

I pick this up last fall and I plan on putting on a set of rusty drop centers to match condition and would like to find an age-appropriate badge. 26" wood clad and the serial number is damn near completely ground away. My best guess is a Columbia Junior motorbike, but the outline on the head tube is throwing me off. Any thoughts?

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[redline1968]

Looks like a Columbia to me late 1920’s. Any badge as long as it’s westfield and mouth the same.