Looks to me as if it uses a common reservoir for both brakes and clutch. The pipe though is a mystery. What is that black steel pipe with a shoulder, sticking up and coming from the servo area. It looks as if a flexible pipe of some sort should slip onto it as far as the shoulder.
Agree with MX5 gearbox as it is the right age.
I am not convinced about poor fluid…although fluid discolours and absorbs water over time, if we go back to basics, all that a hydraulic system needs to work, (i.e. to transmit energy) is a fluid of some sort (without any air bubbles). Might be worth checking that the hydraulic line to the slave cylinder is not pinched or flattened along its route?
As far as riding the clutch, with the strong springing on a Morgan clutch pedal, think you would need extremely heavy feet to cause clutch damage by resting your foot on the pedal.