In a double butted frame, the seat tube would be butted at the BB joint, parallel at the top end to allow a seat post to be fitted.
The top and down tubes would be double butted (i.e. at both ends).
I've lost track of what frames or bikes are lurking in my garage and sheds – apart from the four Grubbs, there are two Mercians (one is 1949, my oldest), an Ephgrave, a curly Hetchins, a Parkes, a Pat Rohan, a Bianchi, a Ribble, and an F H Scott.
And that's just the steel framed ones! 