Thanks for tracking this down, Cindy.
Do you have a complete transcript of the article? Or a scan? I'm trying to get the quotation marks right so that they help to distinguish between what Mrs. Arnold said, what the reporter said about her, and what is your own interpolation or paraphrase.
Los Angeles Times
9 July 1937
"Mrs. Joe Arnold, Okmulgee, told The Times she and her daughter heard a short wave wave radio message tonight in which the name Amelia Earhart was 'repeated several times' and then that the message was 'weak, but distinct' and that the message said, 'We're suffering, but holding on. Couldn't see Howland Island.'"
This seems like a new story to me. I worked on the database last summer for a few weeks. Ric (currently on Niku) and Bob Brandenburg have been collating and evaluating the list of post-loss radio messages. Their goal is eventually to make it available in some form on the website. I don't see this message in their list (although the copy to which I have access may not be the most recent version).