A late 50s Fender Deluxe, i think.
i'm still wondering what Neil's signal chain is... what kind of effects in what order?
does he run the amps parallel or use an A/B switch between the amps so he can use them for different things. or perhaps an ABY switch that allows all the above?
according to Beatles Gear, John Lennon used a tweed Deluxe in the pre-EMI days of the Beatles.
it's wild guess that this was an inspiration for this amp combination.