Hi MIke,
thanks for this, sorry for my slow reply.
Yes I'm inclined to agree this looks like a different Hannah.
And yes nowadays Beckford, a new placename to me, is considered part of Worcestershire.

This 1868 Gazetteer entry shows it has no obvious links to the Forest, especially Coleford on the far side.
J

"BECKFORD, a parish in the hundred of Tibaldstone, in the county of Gloucester, 6 miles to the E. of Tewkesbury, its post town. It lies on the confines of Worcestershire, not far from Bredon Hill, and includes the hamlets of Bangrove, Didcote, and Grafton."

https://www.genuki.org.uk/big/eng/GLS/Beckford/Gaz1868