Columbia Bike Serial Number Location

I've got a girl's Columbia Thunder bolt that according to headbadge on the 'Mr. Columbia' website was built between 1946 and 1960. BUT I cannot find the serial stamped anywhere. I've sanded the bottom bracket and the rear drop outs down to bare metal but nada, zip, nothing. Attached is a picture of a bike like mine (I didn't picture my bike because it's completely torn down to individual parts. )
Mine is complete, including tank and Bermuda bell and a rack, except for the ##%&*!! serial number. Any help would be appreciated.
Thanks, Ed

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As the manufacturer, our only price structure on current models is wholesale pricing, not retail. You might try Antique Bike dealers or local bike shops. What year was my bike manufactured? To determine the year your bike was made find the serial number stamped on the bike and then match to the following chart: 1936 A5429 - A266083. Find out the exact year a middleweight bicycle was made by locating the serial number. Learn how to find middleweight bike serial numbers from a bicycle expe.