Hi;
I am not aware of plans and material lists for "English" barns.
I plan to finish a 1/5 scale model of a 30'6" x 36' English barn that is a replica of an existing barn in my town. The model is fully timber framed and uses 3/16" dowels for pegs! I went and measured some key dimensions, the timber sizes and took some photos and built the model without making plans. This was possible for me because I have many years experience restoring and building frames so I knew what to do.
I would be willing to give you the critical information to design an English barn, but this would not be a set of plans.
Where are you?
Jim