Christian David Graff was born the son of Johann Christoph Graff (organist at St. Johannis in Magdeburg).
He was trained by his father and by the music director Christiani in Magdeburg.
From 1714 he attended the Gymnasium (at the Grauen Kloster?) in Berlin and was a pupil of the Nikolai organist Adrian Lutterodt.
Around 1715/1716 he stayed in Magdeburg; from 1716 he attended the Gymnasium in Eisenach and was a pupil of the organist Johann Bernhard Bach.
From 1719 until his death in 1774, he worked as organist at Kirche St. Ulrich und Levin in Magdeburg (until 1720 as a substitute).
His surviving works are for organ.
The fact that Christian David Graff was considered as a J.S. Bach's pupil is obviously due to a confusion between J.S. Bach and the Eisenach organist Johann Bernhard Bach  (1676-1749). The actual teacher was given by Löffler in 1929/1931 on the basis of Graff's autobiography published by Marpurg in 1757.
The series "Musik zwischen Nord- und Ostsee" can be downloaded at this link:
Book nr. 01,08, 13,14, 44 and 45 are organ compositions.
This piece comes from nr. 45.