A bit of necro bump.
I know there are some enthusiasts of shaving soaps that contain lanolin, and I've been using one which seems to go under the radar.
The Razorock WTP soaps contain glycerine and lanolin (no tallow, but 2 out of 3 isn't bad). These shaving soaps are a bit tricky to get hold off in the UK, but I have noticed the TGS Briarwood puck has a very similar list of ingredients (I presume they are made in the same factory)
I'm fairly sure the WTP soap I am using is triple milled, and it produces a nice lather. It's not up there with the best MWF lather, but a good enough enough one nonetheless.
This is the ingredients list of the Razorock WTP
Potassium Palmate, Sodium Palmate, Potassium Stearate, Potassium Palm Kernelate, Sodium Stearate, Potassium Cocoate, Sodium Palm Kernelate, Glycerin, Aqua, Parfum (Fragrance), Palm Kernel Acid, Glyceryl Caprylate Caprate, Butyrospermum Parkii Butter, Lanolin, Pentasodium Pentatate, Tetrasodium Etidronate, Alpha Isomethylilonon, Benyzl Salicylate, Coumarin, Limonene, Linalool
And the TGS Briar Wood
Potassium Palmate, Sodium Palmate, Potassium Stearate, Potassium Palm Kernelate, Sodium Stearate, Potassium Cocoate, Sodium Palm Kernelate, Glycerin, Aqua, Parfum (Fragrance), Palm Kernel Acid, Glyceryl Caprylate Caprate, Butyrospermum Parkii Butter, Lanolin, Pentasodium Pentatate, Tetrasodium Etidronate.