Conversation so far:
who played the recorder on fool on the hill
Paul McCartney played the recorder on The Fool on the Hill.
who played the jew's harp on fool on the hill
John Lennon played Jew's harp on The Fool on the Hill.
is the jew's harp actually jewish
There is no indication that the origin of the Jew's harp was connected with Judaism or the Jewish people.

Question: what is the french etymology
Self-contained rewrite: what is the french etymology of jew's harp