Just been looking at the censuses.
In 1851 Peter is with his grandparents Peter & Bridget at Moss-side, Marton. This is the area to the north east of Blackpool Airport.
In 1861, Peter is married to Mary and farming 18 acres somewhere in Layton with Warbreck. The farm may be in the Carleton area, but it is not clear.
In 1871 Peter is in a house between Riscah Farm (Ryscar) and Woodhouse Farm, in Carleton. Both are marked on the current map.
In 1881 he is at Greenheys House, which was on what is now Blackpool Road north east from Woodhouse Farm. The building appears to have been demolished.
In 1891 the family are still at Greenheys.
By 1901 Peter had died. His widow Mary is running Greenheys.
A2A shows a couple of interesting documents at the LRO.
[no title] DDX 560/71 4 Aug. 1887
Contents:
Deed of Partition: (i) Peter Sanderson of Carleton, farmer, and Peggy Braithwaite of Marton, widow, (ii) Richard Sanderson of Birkdale, farmer, Agnes Ann Scholfield of Carleton, married woman, Bridget Alice Sanderson and Mary Elizabeth Sanderson of Carleton, spinsters, and (iii) William Abbott of Preston, solicitor -- for division (as per schedule) of property late of Peter Sanderson of Marton (natural son of daughter Ann Jolly) between parties (i) and (ii).
[no title] DDX 560/72 Dated 12 Mar. 1885
Contents:
Will of Peter Sanderson of Carleton, farmer -- all to wife Mary. Executors: Sons Robert, William and John.
Probate 18 May 1891
Personalty £456.
There are also references to Sandersons in the district in the 18th century. Maybe they DID own land after all.