I was surprised and disappointed by the light coming on, and it shook my confidence in Morgan .. the engine sounded completely normal; and I am hoping it is some sort of glitch that will disappear which it no doubt will not.
If the MIL is on, then a fault code has been recorded by the ECU. It's certainly worth getting it checked out, and for really not very much money at all you could buy a code reader so you can check it yourself.
I appreciate that with the car under warranty you'll want to take it to the dealer for any work to be done, but it might be good for your peace of mind to know what's going on.