Hey Terry, sounds like you stayed in the suburb of St.Kilda. There's an amusement park near the beach named Luna Park. Not sure what hotels were in the area at the time, but if you search hotels in St Kilda you might find the place you stayed at.
Hey Terry, unsure if I'm able to help you, however the 'Fun Fair' was it surrounded by a white roller coaster? There is a town called St Kilda which has a 'fun fair', it is also on the water and has an end of the line tram stop. Best of luck finding it.