I've been building high-end custom furniture with cherry (and other woods), and I know of no way to get that color through the passage of time alone. I'd like to know his method. Not to use, you understand, just professional curiosity. Right...
Mix some tru-oil with store bought boiled linseed then mix with some Turpentine to thin it slightly. Age the turp a day or 3 in a shallow pan. Or use some home cooked boiled linseed oil and add turp to this.
Put it on some cherry that is properly sanded all it will take. Set it in the sun for a couple of days and see if it darkens. It may take a week or two to color. I have no idea what Mr Haugh used (like I said he is a master). It is likely stained but we do not know what the color was when the fowler was new. But a dark oil WILL make more color in any wood.
Most old timey stock finishes were pretty dark compared to todays modern finishes.
I have not used Cherry but dark oil will darken any wood and generally improve its character.
Worth a try if you only use modern finishes that are clear or nearly so it may show improvement.
Dan