The Lancashire League is a competitive league of local cricket clubs drawn from the small to middle-sized mill towns, mainly but not exclusively, of East Lancashire. Its real importance is probably due to the history of employing professional players of international standing to play in the League.
The Lancashire League is not a league in which participants are required to be native citizens in order to compete.
It is definitely correct. If the league hires international players, then it cannot also mandate that players must be of native origin. I tried to slip this detail in in a way the system might not recognize.