When Woody Herman released an album called 'The Fourth Herd' in 1959, it was not indicating a really new ensemble but was mainly the product of marketing. This album was recorded with former members of the third herd, studio musicians and the Woody Herman And His Octet.
One of the central recordings of this fourth herd is the release Woody Herman And The Fourth Herd - Live In Stereo 1963 Summer Tour, which was recorded on a tour in Summer 1963 driven by Herman's new label Philips. The period of the fourth herd lasted until around 1965 and the whole period was in a time, when Herman had several other concept orchestras running at the same time. Herman didn't like to have more numbers for his herds, so this herd was called with preference Woody Herman And The Swingin' Herd by Herman himself.
The fourth herd disappeared in 1967, when it was continuously renamed to Woody Herman And The Thundering Herd, based on its name on the 1967 Monterey Jazz Festival.