...in Joseph BALL's will of 1823, he mentions three mills Firstly, The Town Mill, secondly (hard to read, but I think it says) fulling and tucking at Harnham, and the third one at Quidhampton. All very close to one another in the modern day Salisbury area. From details about Josiah BALL from the Ancestry Public Member trees ( never a completely reliable source, I realise), he lived in the Fugglestone, Quidhampton area and may therefore have possibly run that mill.
I see also that Town Mill and Quidhanpton Mill seem to be rather nicely converted to hotels today. Not sure about the Harnham site. Haven't visited there for over 30 years...
Keith