Another thing wrong with the story would involve the technical aspects of of doing a microscopic exam on the tissue. Cancers are not healthy tissue and start to rot quickly when devascularized so it's unlikely that they could have placed it into fixative early enough for the biopsy to yield information as specific as adenocarcinoma.
Also they said it was metastatic which means there are other sites. This sounds like a made up story by someone who tried tossing in some terminolgy in an attempt to lend credibility.
Peduculated tumors can sometimes avulse, so theoretically someone could cough one out, but I bet what she was coughing up was a chunk of yesterday's hot dog that she inhaled.