Find my Past has a marriage licence index entry (transcript only) for the Davidge/Hattersley marriage, dated 25 Mar 1788. It has John Davedge age 36 (so born c. 1752) of Bolton and Diana Hattersley age 25 (so born 1763) of Ecclesfield.
This is probably where your date of birth info came from.
Maybe worth a look perhaps John Davidge & Dinah named their children
Elizabeth c1786, Diana c1788, William c1791 & John c1792 after parent/s - although this baptism is a little earlier than 1752
John Davidge born 12 Nov
1748Baptism 27 Nov 1748 St Bartholomew The Great,London
Father:
William Davidge Mother:
Elizh.details from England, Select Births and Christenings, 1538-1975
other DAVIDGE baptism same place & with same parents names
Benjamin 28 May 1765 born 11 May,
Samuell 27 Jan 1860 b22 Dec 1759
George 7 Sep 1761 b 25 Aug,
Thomas 7 Oct 1752 b 29 Sept.,
Elizh. 11 Jan 1746 b 3 Jan.,
Mary 28 Oct 1750 born 2 Oct &
Ann 16 Aug 1756 b 4 Aug