On the lan-opc (Lancashire OnLine Parish Clerk website) there are three baptisms for a Thomas Sidebottom with search parameters 1815 +/- 5.
27 March 1814 at St Lawrence Denton Lancashire; Thomas son of Henry and Harriet Sidebotham (born 20 Feb 1814) of Haughton, occupation Cotton Spinner.
15 March 1818 at Old St George, Stalybridge, Lancashire; Thomas Hadfield Sidebottom son of Edward and Mary Sidebottom, of Rasbottom, occupation Spinner.
5 February 1815 at St Peter Blackley, Lancashire, Thomas Sidebotham son of Thomas and Mary Sidebotham, of Moston, occupation Weaver.
I am assuming that as you have Sarah's maiden name you have seen her marriage on 19 June 1836 to Thomas.
Also on this website are two baptisms for children of Thomas and Sarah :- Joseph baptised 15 October 1848 at St James, Birch in Rusholme and Thomas baptised 16 July 1846 also at St James Birch in Rusholme.