The inspection stamps with the F H over M over the number xxx indicates the blade was made by F.Hills & Sons in Manchester (I think). As far as I know all F.Hills & Sons blades were made of Jablo wood.
The JT in the pink circle indicates it is covered with a layer of Thin Jablo, and it would have had a brass leading edge sheath as originally made.
The 303397 stamped on the adapter is the blade serial number, and with the other 3 numbers in the pink circle indicates it is one blade of a 4-blade prop.
Quote from a person with an interest in propellers
"These enquiries have shed light on the factory marking of components which as far as I know is hardly documented. Thomas seems to have a good understanding of this, probably far better than mine. In his reply to the latest enquiry Thomas suggests measuring the blade height which would be a sensible thing to do in both (all) instances. A vertical from the base of the blade to the tip together with the height of the blade adapter would help in narrowing down the blade/aircraft identity.
I agree the second blade is Jablo from a 4-blade prop (thin Jablo covering with brass sheath). As Thomas observes, this is evident from the colour and coding of the disk. There is also a FH (F Hills) manufacturer stamp. I would make one minor correction though, in that the blade serial number on the adapter is electrically etched and not stamped as per above. As with the previous blade the rotation is left hand and therefore designed for a Bristol, Griffon or Sabre engined aircraft.
It does have the look of a 'fighter' blade."
If you can measure the overall length it might help eliminate some aircraft/narrow down the possibilities. I can not see the actual bottom of the adaptor in the photo, but I assume it is touching the wood base? For example, if the length is about 5' 1" or less it would not be from a Typhoon or Tempest, but could be from a Spitfire.
Otherwise, if you have not already done so, look for more stamp marks on the adaptor. There should be more stampings on the adaptor, either in the same section/area as the RA13718, or on the boss where the F H M inspection stamps are.