From David Nash's The Prussian Army: 1808-1815:
By August 1813, the following units were on strength of the field army.
(1st) Prussian Artillery Brigade: 6-lb foot batteries 1, 2, 3, 19, 20, 22, 23, 24; 6-lb horse batteries 1, 2, 3; 3-lb foot battery 1; 12-lb foot batteries 1, 4.
(2nd) Silesian Artillery Brigade: 6-lb foot batteries 7, 11, 12, 13, 15, 21, 28, 29; 6-lb horse batteries 7, 8, 9, 10, 12; 12-lb foot battery 3; 7-lb howitzer battery 1.
(3rd) Brandenburg Artillery Brigade: 6-lb foot batteries 4, 5, 6, 8, 9, 10, 14, 16, 17, 18, 25, 26, 27, 30; 6-lb horse batteries 4, 5, 6, 11; 12-lb foot batteries 2, 5, 6.
Guard Artillery: 6-lb foot battery 4 and 6-lb horse battery 4.
Of the above, the following were Landwehr batteries: 6-lb foot batteries 13, 21, 22, 23, 25, 26, 27 and 6-lb horse battery 12.
Shoulder straps until 1814 were white for Prussian Brigade, scarlet for Brandenburg Brigade, and yellow for Silesian Brigade. In 1814, all were changed to scarlet.
There was also a Handwerker Company (13th) assigned to each brigade whose task was to repair and maintain the various pieces of artillery.
Hope this helps,
Jim