I asked to be referred to a neuro physiotherapist and was in fact referred to a physiotherapist specialising in neurological conditions such as MS and PD. I do not know if this is the same thing. I received ultrasound treatment and simple walking/gait/balance exercises.
I looked for a neuro physiotherapist privately and came across "theneurophysioservice" via Google. Sorry but I don't seem to be able to paste the link. Reading the blurb, the service they offers reads as
"Our neurological Physiotherapists specialise in the treatment and management of strokes, brain injury, spinal cord injury, multiple sclerosis and other neurological conditions"
which sounds exactly the same as the original "ordinary" physiotherapist who treated me.