Sounds like you are using a Controls Toolbox button. You will have to re-build the click event code with each copy you do.
The easy solution would be to use a Forms button. Then the code copies with the button.
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If you don't like the drab look of the Forms button, you can use a Drawing Toolbar Shape (I like the Bevel shape), and assign it to a macro. You can add color, shadow, etc. as desired. When you copy it, all the properties, including the code, copy with it just like a Forms button.