I switched my keyboard to French but had no success. If I use Caslon Pro which has the correct quotation marks, I can access them through PopChar but not from the keyboard in either U.S. or French. Thank you for the suggestion.
The correct placement is for them to point at exactly half the height of a lower case letter. All the ones I am able to create behave that way. Do you think it should be otherwise, or do you see this behavior as "sitting on the baseline"?