A Case of Need, written under a pseudonym by Michael Crichton and re-released under his own name, won the Edgar Award in 1969. It is a medical mystery centering on illegal abortions and thus is quite dated. It's a good enough story, though, and an easy read.
from the back of the book:
Was it murder? Was it horribly botched surgery - accidental malpractice? Was someone in the great Boston medical center violating the Hippocratic oath? No one knows exactly.... Only one doctor is willing to push his way through the mysterious maze of hidden medical data and shocking secrets to learn the truth. This explosive medical thriller is vintage Michael Crichton - with the breathtaking blend of riveting suspense and authentic medical detail that has made him one of today's most fascinating writers.