Power & Source of Big Ideas

I ordered some cabled with a JST PH2.0MM connector for the I2C port on the NanoHat-OLED but it doesn't fit. It seems the JST PH2.0MM connector is incompatible with these items. So the question is.. What is the CORRECT name for the connector on these hats? Without cables we won't get far. Thanks, Proto
I ordered some JST PH2.0MM 4-pin connectors for the I2C on the hat.. but they don't fit!

Its NOT the correct connector type.

Does anybody know the correct name of the connector type for these items.

Without any cables we can't do much!