Hi, on the IGI there are quite a few Grices listed for Buckminster, including a christening for Thomas Grice 28 SEP 1824 Buckminster, Leicester, England, father John Grice, mother Mary.
I have traced some of my relatives back to Sewstern / Buckminster. There is a church in Sewstern, but no graveyard, all burials are at Buckminster church (don't know if this helps or not).
Regards. FEK33
