Which Benjamin Smith?

I have a silver letter ‘H’ with two rings for putting it on a chain.

The size is 3.3 x3.3 cm, and it is about 2mm thick

It is hallmarked London , 1831 with the makers initials BS (Benjamin Smith)

See photo attached

I have found that Benjamin Smith II died in 1823.

Could this piece be attributed to his son Benjamin Smith III ?

What would be its approximate value?
Hallmark.jpg

Could you provide a picture of the whole object?? Its not possible to value it without seeing it!!

I’m sorry. I didn’t know how to put two pictures in my first message.
H.jpg