The system updates player information based on the results that come in. For instance if you play in the Yorkshire leagues for Barnsley it will update your information for both county and club. This will mean you appear under the Yorkshire and Barnsley player listings.
If, however, you are affiliated to a different county and only want to be listed as a player for that county (for the county rankings) then you can ask your county admin to lock your county so that it isn't updated by new results.