Yes Artful your attribution of authorship agrees with the authoritative Michael Kilgarriff in his indispensible Sing Us One of the Old Songs, A Guide to Popular Song 1860 -1920. Kilgarriff lists 56 of G W Hunt's songs including Old Brown's Daughter as well as the better known Up in a Balloon and Dear Old Pals. He also wrote Billy Johnson's Ball which like OBD is often performed in Folk clubs. Old Brown's Daughter must have been a well known music hall song because Kilgarriff lists it in the repertoire of the eminent performer Alfred 'The Great' Vance - as well as a parody version sung by Jenny Hill. Kilgarriff doesn't have a date for the song but G W Hunt's other songs all have dates between 1862 and 1883.