You can get more red in the stain by adding pigment. I buy tubes of Tints All at Ace Hardware. Look for Venetian Red.

The Sherwood BAC Wiping Stain - Chestnut is probably close, it is my favorite walnut stain. Impossible to find (Sherwood commercial paint supplier only), may be only available in gallons, highly toxic with Xylene, Naphtha, Methyl Ethyl Ketoxime.
The stain has lots of pigment, sets up quick but can take 2-4 days to dry enough to topcoat, but it sure is beautiful.
Walnut can also be darkened before staining with a mix of potassium dichromate in distilled water, about 1/2 tsp to 2 cups hot water. The mix is a strong oxidizer. Sand lightly after it dries because the water raised the grain.

As you see, lot of finish samples, lots of time to color match. With 40 years experience I could do it in a day. Maybe hire a professional if you want a match.
The walnut St. Remy Church entry with tympanum in Russia, Ohio I designed and made are stained with the Sherwood BAC Chestnut Wiping Stain

