Actually, after a lot of searching I found that there are several Garner baptisms in Barwell in the period, including a George on 15 July 1792, the son of John Garner and Elizabeth (nee Adcock).
https://www.findmypast.co.uk/transcript?id=GBPRS/LEICS/BAP/01105159 Archive: Record Office for Leicestershire, Leicester & Rutland, reference DE3367/3, Record set: Leicestershire Baptisms.
The marriage licence for the aforementioned couple is dated 15 Oct 1777, he was 30 and she was 27, both single, both residents of Burbage.
https://www.findmypast.co.uk/transcript?id=GBPRS/LEICS/MARRLICENCE/00016060/1They also had a son, Robert (baptised 16 Nov 1783), a son, William (baptised 20 Nov 1785), son Richard and daughter Elizabeth (baptised together on 17 Nov 1788).
Hope this is helpful to you.