You didn't say when he was born - that would help in finding the right death. I assume you mean he was living in Water Street, Carlisle?
I found the following death notices in Carlisle papers between March 1891 and April 1901, searching for John PATTISON, John PATTINSON, John PATTESON, John PATERSON and John PATTERSON:
In the North Cumberland Reformer of Saturday 08 Sep 1894 (p. 3, col. 6):
PATTINSON.---At Edentown, on the 3rd inst., John PATTINSON, aged 83 years.
In the Carlisle Patriot of Friday 19 Mar 1897 (p. 5, col. 7):
PATTERSON.---At St. John's Wood, London, on the 7th inst., JOHN PATTERSON, formerly of West Newton and Carlisle, aged 70 years.
In the Carlisle Journal of Friday 28 Dec 1900 (p. 3, col. 8 ) :
PATTERSON.---At Cockermouth, on the 19th inst., John PATTERSON, aged 84 years.