At that time, a suicide would not have been buried in consecrated ground. Suicide was both a sin and a criminal offence. Burial in consecrated ground was only permitted after 1823 without ritual, and with ritual only after the 1880 Burial Act, one description of which is found here.
As the Church would have nothing to do with the burial of a suicide, there were various local traditions which seemed to vary around the country. Commonly suicides were buried at crossroads and sometimes buried head-downwards. A description of this practice is given here by the Council for British Archaeology.
I am not aware of any specific organised records for such burials.