"Grenadier Bataillon von Minnigerode " Topic

"One of the four grenadier battalions Hessen-Kassel sent to America in 1776, was the von Minnigerode battalion. It was named after its commander, Oberst (colonel) Christoph von Minnigerode. He was wounded during the attack on Fort Redbank, and died in New York on October 10, 1778. His successor was Oberst Wilhelm von Loewenstein.
The battalion was formed of the grenadier companies of the Erbprinz, von Ditfurth, von Lossberg, and von Knyphausen regiments. So there are four different uniforms to be found in the battalion. All wore the typical Hesse-Cassel blue coats, but their facings and mitre caps were different, and the von Knyphausen soldiers had buff and not white small clothes…"

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Amicalement
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Interesting to note that the HC contingent based its grenadier battalions around different troop types. Two – Linsing and Block – were composed of grenadiers from the musketeer regiments (including two companies from the 2nd and 3rd Bns of the Garde, the main body of which remained in Cassel); the one above – Minnigerode – contained the companies from the four fusilier regiments; and the last – Kohler – had grenadier companies from three of the four garrison regiments, plus the elite company of Rall's grenadier regiment (which replaced the fourth garrison grenadier company – from Huyn – which never made it to America).

Can anyone tell me if the Prussian grenadier battalions of this period kept musketeer and fusilier regiments' grenadier companies apart in this way?