Hi,
Probably Aysgarth as Hardraw was in it's parish. According to Genuki a small chapel of ease was built at Hardraw around 1770.
https://www.genuki.org.uk/big/eng/YKS/NRY/Aysgarth/moreI seem to remember that there was a plan of the churchyard and a list of MI's you could consult held in Aysgarth church, but that was on a visit about 20 years ago!
Enjoy your trip. The Green Dragon is very characterful. As well as the walk up to the falls behind the Green Dragon, there are nice walks around West Burton and Aysgarth falls too.
My ancestors (Butterfield) were from Thoralby, also in Aysgarth parish.