The vertically-lined stalk is 2-4 inches long, 3/8 -3/4 inches thick, also orange-brown and very slightly velvety.
This mushroom resembles the choice edible hygrophorus milky, which has widely-spaced gills and exudes less latex.
Look for this mushroom in deciduous woods in the eastern half of the US from early to late summer.
This mushroom is a choice edible, but unfortunately I haven't found it in quantity often enough to perform recipe experiments.