This lovely melody comes from the "Cello Suite No. 6 in D Major." It is the 4th movement of the suite.
This grand, "old-fashioned" transcription was done by Jan Albert van Eyken. It was published by Augener & Co. in London.
Jan Albert van Eyken (Amersfoort, April 29, 1823 - Elberfeld, September 24, 1868) was a Dutch composer and organist. He studied with his father, the town organist and then at the Leipzig Conservatorium in 1845-46. His younger brother was the better known Gerrit Jan van Eyken who later lived in London. Eijken's 1853 book of organ chorales was one of the first Dutch organ books to include introductions to psalms. In addition, he composed three organ sonatas.
In this performance, the "first playover" is mostly "diapason dominated" while the repeat is more "stringy." The Solo Violoncello features prominently in both sections, the first time through without the celeste, while the repeat uses the celeste.
This grand and elegant sound is a trademark of the Salisbury Willis.
The score is attached below, but I could not find any paintings, images of van Eyken.