It's almost certainly the same place. Ur existed through many empires (Sumerian, Old Babylonian, Chaldean, etc...) and the era that the Torah was written in is

It's almost certainly the same place. Ur existed through many empires (Sumerian, Old Babylonian, Chaldean, etc...) and the era that the Torah was written in is most likely when southern Mesopotamia was known as "Chaldea" (ie. Of the "Chaldees").