From reading u_rebelscum's reply I can't tell whether he's saying there is a workaround so that you can use the trackball/mouse buttons as arcade buttons.
Sorry, let me rephrase:
[Can] a normal Mouse [button] ... be mapped as arcade buttons [in mame]?
Yes.
Step 1: Enable mice in mame.
Step 2: If the it controls a different player or game button then you want, remap. Do
not pause the game while remapping.
For more info on remapping, look at the mameFAQ [urlhttp://www.mame.net/mamefaq.html#h03]#h03[/url] for a step by step howto with pictures.