The binnacles on early cars were painted, the binnacle was made out of compressed cardboard, sort of like mdf and usually painted white.
The parts manual says Old English White, but it also says that about a lot of other bits that are white (for example, wheels). Several of these parts were sourced from outside suppliers, so they just painted them whatever white they had. I'm pretty certain the binnacle falls into that category.
I just re-did my binnacle, and I used 'BMW Pepper White 850'. I've been doing a bit of research into OEW, and it's the best match I've found in a modern colour.
It came up ok for a piece of cardboard

Tim
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1951 Morris Commercial J Type Van
1955 BSA C11G
1961 Morris Mini Traveller
1969 Triumph TR6R
1977 Leyland Moke Californian