Winchester also use'd somewhat "reddish" stain, similar but not quite as pronounced as Uberti's, under their varnish. Without a factory letter, duplicating an "original" finish for a specific rifle is probably not possible. Close ....Maybe.
When considering a "re-finish" of a Uberti, I would council to find a stain that you like. In the wood business, most of us who worked in the cabinet industry (caskets?) do not consider "oils" to be a finish. To each his, or her own however.
Coffinmaker