Thank you, all, for your responses and sound advice. I'm going to sleep on this and decide my next step.
My feeling at the moment is that if my quilts were going to be sold for profit, I should have been advised up front. My quilts are intended to bring comfort to a child, not profit for an organization. Otherwise, I would just write a check. And it is imperative I know up front so that I donate only my original work and not inadvertently use a pattern that may be copyrighted.
I also strongly feel that common courtesy dictates a response to an inquiry, certainly two inquiries, even if that response is to say we cannot answer by e-mail, only by phone call (which would be suspect also, since the best documentation is written). They apparently had no trouble communicating by e-mail before.
In answer to how the unknown person who wanted me to make her a quilt got my e-mail address, it was a generic, nonpersonal e-mail address printed on my labels on back of all my quilts for the general public and was not the personal e-mail address furnished to RMH personnel. That is to identify me as the quilter and used in case recipients wish to contact me with care questions or with expressions of appreciation.
Thank you, too, for the reminders of why we do quilt for charity and what moves us to give of ourselves for others.