Thanks, folks, for the information and suggestions. I must have short arms, because I cannot find a comfortable way to let the fiddle drop down into the crook of my arm and still have control. Leaving it under the chin, but loose, seems to work best for me... I guess the next step is more practice.
In a PM I was told to look for the recordings of the English fiddler/singer Barry Dransfield, who performed with his brother Robin a few years back. I guess some of their old recordings have been digitally remastered and released on cassette and CD. And to check out Tom Gibney, from Princeton New Jersey, who performs with a group called Poor Old Horse.
If you know of any other examples of singers who accompany themselves on fiddle, I'm interested in hearing about them.
Bruce