Hi Mark, I do not remember White Cap. Most folk singers did not want it known that they worked for same the corporate establishment that they often condemmed in their songs, so it would be hard to find out who wrote what. Also,the jingle became the property of the company that paid for it. Here is one you might remember. It is the only cigarette that was named for a TV program. "Hit Parade".

         More people are smoking Hit Parade around the USA
         Cause Hit Parade has all you want in a cigarette today
         So why not switch to Hit Parade and You'll be sure to get
         The tobacao, the tip, and the taste you want
         In a great new cigarette

It was named after Your Hit Parade that featured Giselle Mackenzie,
Russell Armes, Dorothy Collins, & Snooky Lanson, originally sponsored by Lucky Strike. I am sure you remember it. SOL ZELLER