Question

name of the fibrous serous coat enclosing the liver/

Answer 1

Glisson's capsule, I'm not sure though

Answer 2

It sounds more like this one.... peritoneum

That portion of the liver which is exposed in the abdominal cavity is covered by a reflection of the peritoneum, closely attached to the organ, because its deeper side is continuous with the fibrous structures or interstitial tissue of the liver itself. This serous covering is so thin that the substance of the liver can be readily seen through it.