Well, it works.
Successfully set up connected to the network switch in the living room, after the initial pairing done in the office, 'cos I can connect it to a bit of Cat 6 easily there, and there's loads of sockets, the cloning of the router connection guff, and now it just seems to work, with the phone and scabby tablet thinking its connected to the router itself. This works not only in the workshop, but also in the whole of the corrugated iron barn outside. i haven't yet checked if it still works outside the barn, i.e. through the corrugated iron sheet walls. If so, lets hope our supposedly wifi allergic neighbours haven't got a detector in their home, as it might make it to their back yard. Said neighbours have recently been connected to the BT fibre network (like wot we are) and think they are using no wifi cos its turned off on the router, but you can't turn BT wifi off! It turns off wifi for the user, but still broadcasts its bloody BT wifi fon bollocks, which I gather is supposed to be collectively forming a net for passing pedestrians with phones. Er, we live in the middle of nowhere, we do not get passing pedestrians, unless you count the occasional escaped sheep. If anyone knows a dodge for turning the wifi fon bollocks off, please let me know, as I resent providing a pointless service for the robbers at BT.
All that, just to get some radio in the workshop. The scabby tablet isn't ideal, but it'll do for now, using some radio app on it. its a Samsung thing, about 8 years old, running Android 4.something.
Thanks for guidance, all.