The 3rd source does a better job of explaining who the "Turkish Hezbollah" are. They are indeed a separate Kurdish group located in eastern Turkey.

They are also Sunni Muslims while Lebanon's Hezbollah are Shite.

https://en.wikipedia.org/wiki/Turkish_Hezbollah

Interesting to note. Hezb Allah just means "party of God" ... So not surprised there at different groups aligning themselves to the same name.