Headstones in the graveyard at Holy Trinity Church, Stockton, before the extension of the chancel in 1906The church seen from the graveyard looking W before the extension of the chancel in 1906. Church built 1834-7. Designed by B & J Green of Newcastle-upon-Tyne.Holy Trinity Church seen from the graveyard looking W before the extension of the chancel in 1906. Church built 1834-7. Designed by B & J Green of Newcastle-upon-Tyne. 
Picture Stockton Archive
A Pictorial History of Stockton-on-Tees
What happened to the buried
Few family members were buried there
I think that they were reburied in Oxbridge Lane Cemetery.
The Holy Trinity church is said to be the last of the ‘Waterloo’ churches. These churches were built from funds set aside in 1818 for the construction of churches across the country to give thanks to God for the victory over Napoleon at the battle of Waterloo in 1815.