The opening of Oxwich Primitive Methodist chapel in the Swansea circuit is recorded in the Primitive Methodist magazine by J Hibbs. Opening services took place on 29 July 1838 when the preachers were J Hibbs and Brother Phillips.
Oxwich was missioned in 1836 but the house they were meeting in became too small. C M Talbot Esq. MP kindly granted a piece of land and the new chapel used stone from an old building moved by society members.
The new chapel measured 30′(l) x 19′(w) x 13′(h) and the society had 24 members.
On the 1878 Ordnance Survey map, a Primitive Methodist chapel is shown on the lane going north west out of Oxwich. By the 1898 map it has become a reading room. That disappears after the 1915 map. I can see no evidence of it on Street View.
Primitive Methodist magazine 1839 page 293