In 1950, Connie Fox embarked on a 1,000-mile bicycle trip through Europe with two friends. On Nov. 1, she was in St. Peter’s Square in Rome when Pope Pius XII declared the Assumption of Mary as dogma. Bill King happened to be in the same place at the same time. They first met briefly during the 1960s at an art opening in Berkeley, Calif., but it was not until 1980, after Ms. Fox moved to East Hampton, that they found themselves together again, this time as fiddlers in Audrey Flack’s bluegrass band.