Owned and bred by Elberon Farm, she descended from her sire Restless Wind out of a Determine mare named Possessed.
A month later, in late September, she traveled to Chicago, Illinois, and captured the Arlington-Washington Lassie Stakes title in the six furlong dirt race.
Process Shot was named American Champion Two-Year-Old Filly for 1968 by Turf & Sports Digest magazine and the Thoroughbred Racing Association.
Her owner, Sonny Werblin of Elberon Farms (who also owned the New York Jets), and trainer J. Bowes Bond decided to run Process Shot in the de facto second jewel of the filly triple crown, the $40,000 Black-Eyed Susan Stakes at Pimlico Race Course in Baltimore, Maryland on May 16, 1969.
In that race, Process Shot beat a field of nine fillies, including stakes winners Loyal Ruler and Around the Horn.
In her next race, Process Shot finished second to Gallant Bloom in the Post-Deb Stakes at a mile and a sixteenth at Monmouth Park.