I take it that by referring to the history of Palestine between 1800 and 1948, you're referring to the land under the Ottoman Empire until 1917, and then under British Mandate until 1947/48. The land that was then kmown as Palestine was Jordan and then Israel.

As far as I know, I have a pretty solid knowledge of the history. Nevertheless, I will go look for the podcast and come back to you. I would be surprized if he got anything right.