I have a Brookland steering wheel on my 1961 +4, with a leather cover, and I love it. This was the standard wheel for my car and yours.
One important consideration is that the 16.5 inch steering wheel must be dished on a Morgan roadster or your knuckles will bang against the choke handle when the choke is pulled out. (This is not a problem for DHCs.) The Morgan factory always dished their wheels, but most of the newer repros are flat.
If you can't get a dished 16.5 inch wheel, one option is to buy a 15-inch repro instead. These look good and they leave enough room that your fingers will clear the choke knob. I believe Melvyn Rutter has the 15-inch Brooklands.