I thought everyone in the world had heard about Browning's late 1960's - early 1970's "salt wood" rust problem, by now.
Your rifle was stocked with a batch of wood that Browning used to stock different models, that had been dried with salt.
The cells of the wood are permeated with the salt.
The only cure is to switch out the stock, as there is no way to "un-salt" it.
If you can prove you're the original owner, IIRC, Browning will restock it, but other than refinishing, little can be done about the rusted metal.
http://artsgunshop.com/Salt/Salt_Article-Page-1.htm(also)
" While the salt-wood problem has been well documented, remember that between 1966 and 1972, the Morton Salt Company sold Browning a new salt method of "speed drying" walnut blanks, as Superposed demand had outstripped the company's ability to provide kiln-dried wood. Unfortunately, this new process yielded a good many salt-filled stocks and/or forearms to be utilized in maintaining adequate production, resulting in rusting metal surfaces where there was wood/metal contact. If in doubt about salt-wood on a Browning Superposed manufactured during 1966-72, please consult a knowledgeable Browning dealer and/or collector."