Many thanks to all who replied, I found and listened to the show. In case you are interested:

Dylan's comments about the NLCR after playing their recording of "Sales Tax On the Women" in "Episode 49: Death and Taxes" of TTRH aired on April 11, 2007:

"The New Lost City Ramblers was Mike Seeger, John Cohen, and Tom Paley.   They never made the big time like the Kingston Trio, but they never did wear striped shirts. One of the things that the New Lost City Ramblers did was uncover great old songs -- songs that you could only find in those days, in piles of 78s in somebody's barn. They breathed new life into those songs, and their records stand the test of time, just like the originals."\