Walnut dying is far from necessary. Deer can't see color and people wore colors in the 1760s. So many rush to the walnut dye. It's just ONE option among several.
" They wear black, white or purple blouses with fringe on their sleaves and collars in Spanish Fashion. Their guns, having rifled barrels five feet long are much too heavy for one to aim well with out support. They have a kind of cartridge box, from which hangs a powder horn and in which is a wooden frame holding twenty-three cartridges"Karl Baurmeister-Adjutant General Major of the Hessian Forces
" best garments were a sort of hunting shirts, loose jackets made of gray linen very common in Carolina" Lafayette
1st Philidelphia County Battalion of the Flying Camp-
Capt Thomas Holme's Company-
Yellow Frock and Trousers Light Colored Frock-yellow breeches
White Frock,leather Breeches, yarn stockings
Purple Frock and rousers
Purple Frock, white jacket, breeches and stockings & a cocked hat
Sept & Oct 1776- Pa. Gazette
Pennsylvania Militia of the Flying Camp 1776
Capt Jacob Faun's Co
Yellow Striped Jacket, striped trousers
Linen Frocks and trousers ( two deserters)
Blue hunting shirt and trousers white coat, leather breeches, half boots
Capt Wm. Roberts co of Riflemen of Bucks County
Yellowish hunting frock and yellowish or white trousers ( worn by three) Sept 1776
Capt Andrew Holmes Co. 1st Batt. of Cumberland County Militia-
Hunting Shirt and leggings of a light lye color, striped jacket, good shoes small brimmed hat Sept 76
"There whole dress is very singular, and not very materially different from that of the Indians; being a hunting shirt, somewhat resembling a waggoner’s frock, ornamented with a great many fringes, tied around the middle with a broad belt, much decorated also…Their hunting or rifle shirts, they have also died in variety of colors, some yellow, others red, some brown, and many wear them quite white†(Smyth 179-180)
General Griffith Rutherford, from North Carolina, wore a Tow hunting shirt, dyed black, and trimmed with white fringe. (Henderson, 266-267)
"At that time if a gentleman could procure a hunting shirt made of good tow linen, and died, black, with a motto across the breast in large white letters, LIBERTY OR DEATH he is fine for anything. In fact our Genl’s hunting shirt was inferior, a dingy colored, ordinary looking one. "
You'd be amazed at how a 230lb man (me) can blend into the woods wearing an undyed/very light tan linen coat, a white shirt and blue leggings (and red/black facepaint, but that's another story).
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I suggest doing some good reading before investing $:
Re-creating the American Longhunter by J. Ruckman is a good start and inexpensive.
The Frontier Rifleman by Richard LaCrosse has a multitude of period quotes, although some of his sketches/conclusions are a bit outdated.
A Pilgrim's Journey by Mark Baker (2 volume set) is also good. But be sure to read BOTH volumes. He corrects some of his earlier theories in the second volume.
The Journal of Nicholas Cresswell is another good one. Cresswell travels for a bit with some hunters and describes their dress and skills (or lack thereof).
Mario