Sometimes chickens can be considered "poultry" and sometimes they can be considered "pets". It's all in the legalese language of the ordinances. If you want to raise "poultry", you need 2 acres according to what you wrote. For them to be considered "poultry", the legal definitions MAY include something about farming for profit, actively being engaged in a poultry business, etc. This might NOT be included in your legal definition there.
For them to be considered PETS, there could be a separate legal definition/exception. For example, you MIGHT be able to have a chicken as a pet if you don't have more than 4 per homestead and you don't have any roosters. Sometimes you can find that wording (or something like it) in your ordinances.
If you want to tell the board what town you live in (don't give us your street address, of course!) someone else might already know more, you might have a neighbor 10 blocks away who has already been through this. You'd be surprised how diverse we are! Also, if you find regulations and you want more interpretation, there are lots of people on here who have been in your shoes and gone through all this and know how the wording works.