I'm also seeing a Thomas Varley that matches the description slightly but I can't seem to figure it out.
I'm wondering if anybody else has come across him?
He is on various census with his family, two of them being a wife Susannah (?) and a son Richard. 
I think you're probably right with the Thomas and Selina that you've both found but I'm trying to cover all angles  
Just to confirm are these the censuses you are referring too - details previously posted by Jaysholme
also posted were the marriage details for Richard Varley & Selina 
nee Garside - 
see reply 21and marriage details for Thomas & Susannah nee Lindley - 
see reply 13Thomas 1846 pob Marsden parents Richard & Selina
1851c 
https://familysearch.org/ark:/61903/1:1:QKVV-M8K71861c  ?
Thomas 1846 Hoyland 
occ Master Clogger wife Susannah
1871 
https://familysearch.org/ark:/61903/1:1:KZGR-K8RThos 1846 pob Marsden 
occ Clogger wife Susannah
1881 
https://familysearch.org/ark:/61903/1:1:QKXP-WG2KThomas 1846 pob Yorkshire 
occ Master Clogger wife Susannah
1891 
https://familysearch.org/ark:/61903/1:1:7FKH-FMM1901  RG13; Piece: 4322; Folio: 36; Page: 10
Thomas 1844 Bradford 
occ Clogger own a/c
Susannah 55, Thomas 27, Arthur 22, James G 19, John W 15 All born Hoyland
These appear to be the birth entries in Barnsley for Thomas Varley & Susannah's children (See FreeBMD)
Hoyland Nether is in the registration district Barnsley - note two children have middle name GARSIDE
Richard 1866, 
Selina 1868, John William 1869, 
Maria 1872,Thomas 1874
Joshua 
Garside 1876, Arthur 1879, Laura 1881, James 
Garside 1883, 
John William 1886
Susannah Lindley Baptism 3 Oct 1847 Hoyland Nether,York,England
parents 
John & 
MariaSee reply 25 for 
Thomas Varley's baptism/birth details parents 
Richard & 
Selina