I would think Bentley Derbyshire is Fenny Bentley. Coverage on the IGI I believe is only from 1811-1856 but an earlier period is covered on the BVRI.
GREATOREX, Anthony Christening
Birth Date:15 Apr 1787 Christening Date: 29 Apr 1787
Father: William GREATOREX
Mother: Hannah
Other children of William and Hannah were
GREATOREX, Martha
Christening Date:18 Feb 1779
GREATOREX, Elisabeth
Christening Date:5 Jun 1781
GREATOREX, Margaret
Birth Date:11 Jul 1784
Christening Date:11 Jul 1784
GREATOREX, Mary
Birth Date:20 Jan 1789
Christening Date:1 Feb 1789
GREATOREX, John
Birth Date:5 Jun 1791
Christening Date:12 Jun 1791
GREATOREX, Hannah
Birth Date:13 May 1793
Christening Date:28 Oct 1793
GREATOREX, Judith
Birth Date:9 Dec 1795
Christening Date:22 Feb 1796
GREATOREX, William
Birth Date:5 Jun 1798
Christening Date:22 Oct 1798
GRETOREX, Ann
Christening Date:8 Dec 1800
There are 56 Greatorex baptisms for Fenny Bentley on the BVRI between 1755-1812. Marriages are covered 1608-1890. The first Greatorex marriage in the parish is in 1663. No marriage though for William and Hannah.
The 1851 census has 17 Greatorex with a birthplace of Bentley, Anthony being the oldest. As he was a farmer of some standing I would check whether he left a will (Lichfield Record Office?) and with Derbyshire Record Office re Greatorex wills from Fenny Bentley. It looks like it would be very profitable to go through the parish registers of Fenny Bentley for Greatorex entries. There is no coverage for burials on the NBI for the parish. However there is a website with some memorial inscriptions which also has a photograph of the church.
http://www.wishful-thinking.org.uk/genuki/DBY/FennyBentley/MIs.htmlRegards
Valda