There are actually several John Doral (or alternative spellings) Denmans in Lincs at various times.
Im not related, Im doing this out of interest of the Denmans later family history living in the parish of Brothertoft. But have seen several times on various messageboards people searching for this person and I thought Id post here what I believe I have found because it may be of use to someone else.
John Doral Denman b.cir 1799 "Authorn Hill" according to the census. There is as far as I am aware, no such place. John Doral Denman married Mildred Hall in 1828 at Coningsby, and his eldest son Joseph was baptised there a year later.
Its my belief that John Doral Denman came from a tiny hamlet called "Hawthorn Hill" located by Dogdyke, just south of Coningsby. At the turn of the 1800s there was no parish church at Chapel Hill or Dogdyke, so the nearest churches would have been Coningsby or Tattershall.
I thought it was interesting to note that in 1797 a Joseph Denman married Ann Riggall. They had some children baptised at Coningsby according to the IGI/FREEReg but I have not found John. Hopefully, its a good pointer in the right direction.
I do have info on later Denman family of Brothertoft if anyones interested.
Good luck to anyone seaching.