In the 1901 census, a 72 year old man named John Rawnsley is living with Jonas and his family, who is recorded as being Jonas' uncle.I suspect that John Rawnsley is a misspelling of John Rangley". That would explain the relationship between them.
Jonas and Sarah also had an adopted son named Harold Priestly, who was born in about 1887.
"England and Wales Census, 1871," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/KZGX-LSQ : accessed 08 Oct 2014), Jonas Aspinall in household of Ann Aspinall, Hipperholme, Hipperholme Cum Brighouse, Yorkshire (West Riding), England; citing "1871 England, Scotland and Wales census," index and images, findmypast.co.uk (www.findmypast.co.uk : Brightsolid, n.d.); PRO RG 10, folio 73, p. 11; Halifax registration district, Brighouse subdistrict, ED 4, household 52, The National Archives of the UK, Kew, Surrey; FHL microfilm 848091.
1881 UK census, Hipperholme with Brighouse, Yorkshire (West Riding), England
It may be possible to confirm family relationships with Jonas by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share DNA with Jonas: