Here's a response I received to a letter to my state representative, Jeff Merkley.
Dear Ms. Musser,
You are absolutely correct that Oregon law states, "A woman may breast-feed her child in a public place" (ORS 109.001). What is not as clear is what constitutes a public place. A Fred Meyers is private property but it could be argued that they have created a public place by inviting the public to "congregate" there.
The courts would, in all likelihood, deem that a woman has the right to nurse at a Fred Meyers, although this has never been tested in court. Our legislative attorneys believe that the courts would also judge that Fred Meyers has the right to insist on discretion.
Since this ORS is not a criminal statute, only a private action could get this question into court. You would have to sue for the right to nurse without "covering up."
I hope this answers your question.
Legislative Aide to
Rep. Jeff Merkley
House Democratic Leader