Is it possible to change the name of the button on grid?

I'm not talking about the label, I'm talking about the NAME.

In the field list for the grid, all you get is:

Button.1
button.2
etc.

I am creating a form where I will likely have a couple dozen buttons. It is difficult to find the one I am looking for with the 5 I have there now.

I can click on each button and see the label, but I'd really like to rename the button itself.

If I could change it so it was

button.myname
button.myothername

It would be very nice.