I've seen (studio) pictures of Keith with a '59 tweed Bassman when he was recording Main Offender.
This Sound On Sound article about Voodoo Lounge (with Don Was & Don Smith) also mentions a Bassman :
When recording most of the basic tracks, the whole band played together in the live area, positioned close together in a semi-circle with drummer Charlie Watts sitting in the middle. Keith Richards' guitars usually went through an AB box -- one of the amplifiers was a 1957 Fender Twin, miked with an SM57 on one speaker and an AKG 451 with a 10dB pad on the other speaker; the second amp would vary between an old Fender Bassman, a Fender Bandmaster, a small Marshall, an Ampeg B4 or a new Fender Vibro King.
"We always used the Twin, and then the other amp would be something that we would maybe turn up for very over-the-top distortion, or have real clean or whatever the song called for," explains Smith. "Sometimes we would have a mic on that cabinet and sometimes we'd use a Palmer speaker simulator."
Ronnie Wood, who played pedal steel and lap steel in addition to regular electric and acoustic guitars, also made use of the Vibro King and the Bassman. Darryl Jones' bass, on the other hand, usually went through an SVT or an Ampeg B15.
"We usually used a Palmer on the SVT," says Smith, "because to me, it sounds just as good as a speaker cabinet for the most part. It doesn't work on Twins, because the Fender Twin has a certain amount of speaker compression that goes along with the sound, but on things like Marshalls, the Palmer works excellently, especially with a bass. You can also turn it up and get some distortion out of the amp head without blowing away everybody in the room."
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www.soundonsound.com]