The famous Trumpet Tune in D (also incorrectly attributed to Purcell) was taken from the semi-opera The Island Princess, which was a joint musical production of Clarke and Daniel Purcell (Henry Purcell’s younger brother)—probably leading to the confusion.
N.B. I’ve transposed it to Bb.
Here a link to my Trumpet & Organ sheet music folder
Here a different version played by Maurice André: