If they were Christened in Trimdon, then they should be on the respective Church Rolls. What religion ? If the Parish Churches or Tabernacles dont have the detail any longer, then the rolls may well be in the County Records.
Bit late here tonight, I will do some research in the next day or so, and post here.
Also bearing in mind that your ancesters originated in Lorraine it is possible they came to work in the Iron Founderies and smelters of "High Durham", again where the Coal, Iron Stone, and Lime Stone outcropped.