It's a bread roll (baps are larger). Teacakes have fruit in them and are usually served lightly toasted.... Barm cake is up there with pattie lot, please just stop saying it.
Muffins are indeed of flattened profile, floured and have a slightly coarse texture (Americans call them English muffins, as there are sweet muffins that are nothing like....).
Tea is served in the afternoon (around 3pm maybe), and consists of a pop of tea, possibly some small light sandwiches and maybe some scones, hence it's called tea, or sometimes afternoon tea. Dinner is the evening meal, lunch is the midday meal. Most people only have breakfast, lunch and dinner, unless they wish to emulate hobbits, in which case they may have breakfast, elevenses, lunch, afternoon tea, dinner, supper.... lol
Oh, and why is it that the Aussie is the only one correct in that a cob is a small crusty loaf? What is wrong with you people? Please give up your Britishness cards at the door....
Oh yeah, and I was born in the potteries (Tunsta, then moved to Bursley... Before we emigrated to mid Staffordshire down the road. lol), and not once did I hear a bread roll referred to as a barm cake.. A bap yes, a bread roll yes, but barm cake was considered a Geordie thing, not proper Stokey. Also, you missed of the black pudding, preferably from Browns butchers in Hanley market, all served a a massive BAP. I preferred oatcakes and cheese myself though, still do, with a bit of fruity sauce on top (for those not aware, a type of brown sauce that's fruitier in flavour).