Wonderful news. Our stairs are carpeted but in the "old fashioned style" in that the carpets are not fitted wall to wall but run up the centre with stained boards either side. Much more in keeping with the age of the property (in both cases, although yours is at least two to three hundred years older than ours) but at least it stops the children from deafening everyone as they gallop up and down. It is also safer in terms of slip and trip hazards.
I recall my Grandparents had a carpet "runner" on the stairs long before they ever moved on from lino, floorboards and rugs elsewhere in the house (if indeed they ever did have any other floor coverings).