The remaining traffic on the stub of the Forge Valley was stone from Thornton Dale to Thirsk routed via Malton and Gilling which does not answer your question but I would speculate that the job was run with power provided by Thornaby, York or Malton depots which may lead to a more specific answer as to locomotive types used. The traffic came to an abrupt end in March 1963 when a derailment resulted in destruction of the connections at Sessay Wood Junction which were never reinstated. Perhaps coincidentally, Malton Depot closed the following month, the last working from there being the Whitby Branch Goods hauled by ex L.M.S. 2-6-0 43055 although the allocation just prior to closure was: Ivatt 2MT 41251, B.R. Standard 2-6-0 46413/73 and B.R. Standard Tanks 82027/8/9. There were aditionally three J27s but all were withdrawn by the time of closure. Three years prior to closure the situation was as follows: 2MT 41247/51/65, two J37s both being withdrawn that year, four J27s, A8 69861/988 both withdrawn and possibly replaced by Standard Tanks 82027/9.
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Thornton le Dale might have been called High/Low Marishes
As far as I'm aware the station on the Forge Valley line was known as Thornton Dale, never Thornton-le-Dale for whatever reason, right from opening in 1882; you're not thinking of Marishes Road between Malton and Pickering are you?