Thanks for the comments from Rough Bill's fan club, William.
During the period when Carrigan was backing up Bill Peterson, the Red Sox CLEARLY had the best catching in baseball. Peterson was, for about four years in the 1910s, a genuine star. He hit .300 every year with 90 walks and 80 RBI, and won two Slick Fielder awards.
The Red Sox traded Peterson and Ray Jansen to the White Sox in 1916, obtaining two men who have gone on to productive careers in Boston: Del Paddock and Joe Judge. Soon after Peterson went to Chicago, he began to decline, and never hit better than .259 again. By 1919, he had lost his regular job; the next year he was back in the minors. He retired in 1922 after spending an entire year looking for a job.