Trumpet T
You're basically correct but the job of the redcap traditionally entails an overall coordination of the turnaround, sadly, the redcaps of old are a dying breed and although still in use, the job has been watered down considerably across the handling world. The use of the term 'ramp dispatcher or aircraft dispatcher in the UK refers to the job of the redcap and can be, for all intents and purposes be considered to be one and the same. There are, however, local variations in job definitions.
There is sometimes confusion between ramp dispatching and Flight Dispatching, which originates in the US FAR's 121 and is a very different role. Flight Dispatchers have a joint responsibility with the Commander of a flight for pre-flight planning, release and flight monitoring. Any course in the states is likely to be for a flight dispatchers role.
I would recommend you look up IATA ground-training courses for ramp work, although the City and Guilds of London institute do have ground courses that would be of value. Take a look at IFALDA.org for dispatcher information.