Il nome è portato da vari altri luoghi, in particolare fiumi.
A Dictionary of British Place Names di Mills ha (riporto tutta la voce, evidenziando il Frome di mio interesse):
In Orbis Latinus per questo Frome c'è:Frome, named after the River Frome (of which there are several), a Celtic river-name meaning 'fair, fine, brisk': Frome Somerset. Froom 8th cent. Frome, Bishop's, Frome, Canon, & Frome, Castle Herefs. Frome 1086 (ᴅʙ), Frume al Evesk 1252, Froma Canonicorum, Froma Castri 1242. Affixes 'Bishop's' (OFrench eveske) and 'Canon' (Latin Canonicorum 'of the canons') refer to possession by the Bishop of Hereford and the canons of Lanthony in medieval times, 'Castle' refers to a Norman castle. Frome St Quintin Dorset. Litelfrome 1086 (ᴅʙ), Fromequintin 1288. At first called 'little' (OE lȳtel) to distinguish it from other manors on the same river, later given a manorial affix from the St Quintin family, here in the 13th cent.
Troviamo Froma in un dizionario italiano del 1830.Froma, Fromensis: Frome sdl. Bath, Co. Somerset (England), Grossbritannien.