Yes, well, we've already covered that.
Hey Avengah, ever played Super Mario 64?!
At the end of PEACH's letter to Mario, it's clearly signed: "Princess Toadstool -- Peach".
But cheap and tacky? How so? It's a perfectly good name, as good as any...
Also, she was never meant to be called Toadstool in the first place. The NOA localization team thought it would fit better with the Mushroom Kingdom theme, but eventually Shiggy said "nuh-uh" and they started calling her by her real name.
Dexter, boy genius...Dexter, the cookie