A GPS-equipped beacon transmits the lat/long but not
AFAIK on the audio channel. It would be great if it did send it as audio (synthesised voice) on the 121.50 channel. The lat/long gets transmitted (on the 406MHz) once a minute to the satellite, which then relays it to the international S&R network.
This is why, if you ditch, having something which gives you a human-readable GPS position is a good idea. It can be a £50 GPS from a camping shop, but then you need a handheld radio as well (with which to call up a nearby aircraft - typically an airliner on 121.50). Or it can be a satellite phone, all of which contain a GPS and all of them are capable of sending somebody an SMS with the position, with just a few button presses. A pity that Falmouth have no means of receiving these messages (I did speak to them about it)
All they would need to do is buy a mobile phone and publish the number. I have a few peoples' mobile numbers programmed in my satphone. But a satphone is not a good long term solution because - unless you are on a contract and keep paying £££££ like all the kids with their £35/month Iphones - any prepayment expires pretty fast, so you have to keep an eye on it.