Hyphenation of two old English Words

In the hymn “Once in Royal David’s City” the words feeleth and shareth occur.
Mr. Brennan doesn’t know those ancient words.
I guess the hyphen should be right before eth respectively.

Can somebody of the British people confirm (or correct) that?

Yes, suffixes are generally observed, except before a double consonant. (E.g. Lord, now let-test)

feel-ing and shar-ing follow the same rule.

Definitely NOT “fee - leth”, nor "sha - reth".