The answer to the previous question is wrong. The farm rule for the Rio Grande Games edition, which you are calling the second edition, is the same as the current farm rule. (Note, some people call the current basic game the second edition. I can find no evidence that any of Hans im Gluck, Rio Grande, or Z-Man Games number their editions.)
The confusion arises from the awkward way in which the Rio Grande rules were written. The writer doesn't seem to know if he's scoring farms, farmers or cities.
From Rio Grande Games Carcassonne
FARMER SCORING (for supplying the completed cities)
•Only completed cities are used for scoring farmers.
•The farmer must be in a farm that borders a city to supply it.
The distance of the farmer to the city is unimportant.
•For each city a farm supplies, the player who deployed the most
farmer(s) in the farm earns 3 points, regardless of the size of the
city. If players tie with the most farmers, each scores 3 points.
•A farm can supply (score) several cities if they border the farm.
•Several farms can supply a single city. In such a case, each farm is
scored separately, as descibed (sic) above.
When all completed cities are scored in this way, the scoring and the game is over.