I don't think the Hot British would do it. All the clips on the site are super distorted, they seem to only do modern extremely heavy marshall sounds.
There's a pedal called aLovepedal COT-50, which sounds very authentic if you hear the clips of it.
My Video's and Music
Jack Briggs Custom with SD JB (Bridge) and 59' (Neck)
Fender MIM 50's Strat with SD Hotrails (Bridge), Texas Specials (Middle & Neck), Sperzel Locking Tuners
Fender MIJ Jaguar with SD SJAG-2 pu's (Neck & Bridge), and Buzz-Stop.
Cornford Hellcat 2X12 Combo