I am looking for the original font, free version, or something comparable to the Russ and Daughters logo found on their website here: https://www.russanddaughters.com/

Not a match per se, but I think Brandon Grotesque would be a great substitution, with nicer letterforms. Not free, though. 

Sorry to break it to you, but it is a custom logotype.

Mix and match the various versions of Neutraface, and you’d have a decent jumping off point for recreating the look.