There isn't much info on Batemans at Wendlebury so in case it's of help the following covers it all:
William & Frances had the following children baptised at Wendlebury:
William 31 Mar 1811 s/o William & Frances, labourer
Thomas 8 Aug 1813 ditto
David 10 Mar 1816 ditto
No marriage for William & Frances but William presumably the one baptised in 1789
Joseph Bateman otp marries Ann Tuffley of Donnington near Stow on the Wold on 5 Nov 1828
Witnesses Thomas Bateman & Mary Taylor
Joseph and Hanna Bateman had the following children baptised at Wendlebury.
William 14 Jun 1829 s/o Joseph and Hannah, labourer
Thomas 25 July 1830 ditto
Sarah 21 Aug 1831 d/o ditto
George 27 Jan 1833 s/o ditto; buried 3 Jan 1836 3 y/o
There is another baptism:
Emma 15 Apr 1849 d/o Sarah Bateman, labourer's daughter.
These are the only Bateman records at Wendlebury.
William seems to be a 'family' name occurring three times as the first born son's name.
Maybe gives you a bit of background info on the family.