Froðba is usually divided into smaller places such as Hamri, Undir Skorum, Støðlunum, Torvheyggur and Bøur.

The name "Fróðabæ" has changed to "Froðabø" and finally "Froðaba" and Froðba; the Faroese word bø translates into place, dwelling, settlement or village in English.

Note that other villages on Suðuroy share the ending "ba" or "Bæ", "Bø" such as Hvalba and Sumba.

The old church in Froðba housed a rune stone which was taken to Denmark in 1823 and cataloged in the Nationalmuseet but lost and rediscovered in 2003.

Due to some mix up and in cataloguing since its rediscovery the rune stone's whereabouts are to this day unknown.