St Andrews Mission at Thornaby is still a functioning church, their website states that St.Andrews was a mission station started by the much larger Presbyterian Church in Stockton, originally as a Sunday School. When the Presbyterian Church and the Congregational Church joined together, it became part of the United Reformed Church
The date stone above the building carries the date 1893, it cost about £950 and could seat 200.
One foundation stone was laid by Mrs Bouge of the Manse on October 1st 1892, presumably the wife of Rev. J Bogue
The second stone is heavily eroded and difficult to interpret, but my research shows it to be Mrs G Y Blair who laid the stone. That would be the wife of George Young Blair who managed the Fossick & Hackworth Locomotive Engine Works which he came to own after 1866 as Blair and Co. who manufactured marine engines.
The Northern Echo from Monday 03 October 1892 report on the events in full.