Can't see his birth, but a couple of bits of info that may help.
Looking at his childrens baptisms on the Bishops Transcripts at Christ Church, he was an Upholsterer. This will probably be his death notice in the Newcastle Courant, 31 Jan 1829 :
Mr Mark Makepeace, of North Shields, upholsterer, aged 51. He was found dead on the morning of the 24th inst., near the Monk-House-Farm, on the road from Whitley to North Shields, having perished from the inclemency of the weather.
That gives a birth year of around 1778.
Two of the childrens baptisms have him as a native of Minorca. One as native of St. John. As well as his children baptized at Christ Church, there is an extracted baptism on the IGI of :
6 Sep 1801, Manchester Cathedral Lancashire, Ann Makepeace, daughter of Mark Joseph Makepeace and Jane.
His wife was Jane Robson on the Christ Church baptisms, so may be worth further investigation.
Alan.