Is there a trademark for Anchor Hocking that has an H with an A under the crossbar of the H?

Yes, Anchor Hocking has registered trademarks that feature various designs, including those with stylized letters. The specific trademark you mentioned, with an "H" and an "A" under the crossbar of the "H," may exist, but for the most accurate and up-to-date information, it is best to check the United States Patent and Trademark Office (USPTO) database or the company's official resources.