The cool thing about tax tokens is that, generally speaking, they were minted in huge numbers, and are still common enough to find quite easily and cheaply. They also were created in different materials and varieties. For example, the tokens from Mississippi, my home state, were made in denominations of one cent and five cents, and were minted in aluminum, brass, plastic, and fiber (cardboard.) I have examples of each type in my collection.
To answer your question about obverse/reverse orientation, some were minted coin turn (obverse and reverse opposite, like US coins,) some were minted medal turn (obverse and reverse the same.) It is also quite common to see rotated dies, where the obverse and reverse can be rotated in any direction and to any degree in relation to each other. Since it is common, it normally does not bring any additional premium.
Keep posting [pictures of your tokens. We enjoy seeing all types.