@Barry ******
I believe you are confusing an extension of stay with a re-entry permit from the immigration office with a valid year-long, multi-entry Non-Immigrant visa from a thai consulate
Extensions/re-entry permits etc get MOVED from the old passport to the new one.
VISAS stay in the passport they're stuck in and only a notation stating you hold xxx visa valid until xxx date goes in the new passport
BUT
you show both to stamp in and out of the country.