This theorbo arrangement of "La Furstenberg" is from manuscript Vm7-6265 Bibl. Nationale, Paris, probably written at the very end of the 17th century. The arranger could be de Visee, because the ms. has lots of music by him.
The song is possibly a mockery of the countess of that name, who was said to be the Bishop of Strasbourg's mistress.
Many composers have used this popular melody in their works: Purcell ("First Act Tune" from The Virtuous Wife, also known as "St. Martin's Lane" in the Playford), Campra, Philidor, Corrette, ...
The instrument is "Théorbe de pieces" in d (a'=392). Actually I have stringed and tuned my archlute (Stephen Barber, 1987) to a high theorbo. More French theorbo music in page http://www.cs.helsinki.fi/u/wikla/mus/Tiorba/deVisee/. Arto Wikla 4.5.2009.