Hessen-Hanau Artillerie Kompanie 1776-1783: https://3.bp.blogspot.com/-Ud_QwOiSPks/ULORuwx_ozI/AAAAAAAAA1w/5Z_3UW6uV2s/s1600/awi_hesse_hanau_artillery.jpg
Of possible interest:
Sponton für Artillerieoffiziere aus Hessen-Hanau um 1770: https://www.waffensammler-kuratorium.de/Sponton%20Hanau/SpontonHanauge.html
Contains info re: Artillerie organization, not just info re: the 'Sponton'.