That sounds like it is a Town Upgrade. You said you got it from a mysterious stranger in the Botanical Garden - did you buy it from a guy named Cuthbert Gibbs who was in a tent in Town Square? Does it look like the picture below? If so, it is a Town Upgrade and you will have to demolish it and re-purchase it to move it to another location.

You can buy a Demolition Order in the Tools section of the General Store. Put your mayor next to the item, tap on the Demolition Order, and follow the screen prompts. This will destroy the item and it will be gone. If you want another one you will need to buy it. Go to Town Hall, sit at your desk, tap on the Town icon. The Flower Pot is in the last category.


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