I've been in a very similar situation, i'm renovating a 1920's semi with lathe and plaster ceilings. did an initial check and couldnt see any areas that may contain asbestos, insulation in the loft was new fibreglass....
that was until part of the ceiling came down along with vermiculite insulation.
i paid a whopping £50 to have samples checked, had a week of worry waiting for results but all was ok.
the best advice would simply be get them to do a check and pay for it if your worried and it'll set you mind at rest, pictures can give a clue on asbestos sheets but certainly not if plaster contains it, and if you dont get it checked properly it will always be on your mind!
that was until part of the ceiling came down along with vermiculite insulation.
i paid a whopping £50 to have samples checked, had a week of worry waiting for results but all was ok.
the best advice would simply be get them to do a check and pay for it if your worried and it'll set you mind at rest, pictures can give a clue on asbestos sheets but certainly not if plaster contains it, and if you dont get it checked properly it will always be on your mind!