I can't find any of the baptisms in Osgathorpe but the Leicestershire Archives in Wigston might be able to help.
You may have seen the following:-
In Barrow for Thomas William baptised on 12th December 1897, and Ruth Matilda, born on 16th May 1900 and baptised on 26th June 1904.
Quite a few Electoral Register entries, including:-
1910 has Thomas Witham in Loughborough Road, Osgathorpe.
1921 has Sarah Hannah, Thomas and Thomas William in Griffydam.
1931 has, Florence, Sarah Hannah, Thomas, Frederick and Joseph in Griffydam.
School Register at Osgathorpe Church Of England School:-
Thomas Witham, born 7th November 1897 admitted on 10th April 1909.
Fred born 5th April 1900 on 18th April 1910.
Alice Witham, born 29th January 1903, admitted on 29th January 1903 (?) and left district on 4th June 1913.
Hannah born on 30th April 1904 admitted on 17th May 1909
Sarah born on 30th April 1905 admitted on 12th January 1910
David