Does your Thomas William Gilhespy baptised 1804 have a sister Elizabeth Gilhespy born 1809 and brother to the Thomas born 1811? Elizabeth married Robert Wilson in BMI. Elizabeth's parents were Thomas and Margaret also. Thomas sr died Dec 1857 and Margaret Jan 1860.
I would think that Thomas William would have died before 1811 when the other Thomas was born in the family otherwise there would be two Thomas Gilhespy's living at the same time in the same family. I also wonder if they didn't move from the area for a while and that is why 3 children were baptised on the same day but born in different years.--John born 1807, Elizabeth above born 1809 and Thomas born 1811 all baptised 18 Oct 1812.
I am not seeing a likely Thomas being buried between 1813-1839.
Not finding a burial in BMI for Thomas William--I would check Kelloe records. I know my family moved between the two several times during those years.
I don't have Cornforth records that recent for George Heald.
Sorry I couldn't be more helpful.
Janis
PS. Elizabeth Gilhespie's daughter, Eleanor Wilson, married into my family.