Transatlantic Sessions (Wikipedia tells me) is the collective title for a series of musical productions by Glasgow-based Pelicula Films Ltd, funded by- and produced for BBC Scotland, BBC Four and RTÉ of Ireland. The productions comprise collaborative live performances by various leading folk, bluegrass and country musicians from both sides of the North Atlantic, playing music from Scotland, Ireland, England and North America, who congregate under the musical direction of Aly Bain and Jerry Douglas to record and film a set of half-hour TV episodes. Wikipedia
Here are some samples featuring Jerry Douglas and Sarah Jarosz (accompanied by Danny Thompson on double bass), followed by a rockier (not Transatlantic) session from Sarah Jarosz:
… and an earlier session with John Martyn and Kathy Mattea plus Jerry Douglas and Danny Thompson: