Welcome Stephen.
As the others have said give us some details of where you are, where the car was purchased from and I'm sure we can help you get to the bottom of this.
For reference, there can be a small lurch in drivetrain from 1st into 2nd but this shouldn't be so harsh that it rattles the car (it can be overcome with knowing the car and getting used to a certain driving style).
There will always be noise from the transmission because due to the tightness of the transmission tunnel, Morgan were not able to put the same level of sound deadening in place that you would find on a larger (heavier) sports car; however, as mentioned above, it shouldn't be so intrusive that it detracts from the enjoyment on the car.
Congratulations on your car and, again, welcome to Talk Morgan.
