Handel's harp concerto originally for harp & lute?

Hello All,

Recently, I heard that Handel's Harp concerto originally was conceived for harp AND Lute, but that the lute part has been lost. Is this true? On youtube a 1984 reconstruction surfaced from 1984 where Edward Witsenburg (on an Erard harp) and Toyohiko Satoh (on baroque lute) play a reconstruction of this work, conducted by Richard Hickox:

http://www.youtube.com/watch?v=M3UvfDdSpL0&hd=1

Can anyone confirm this?

Rolf