Do you need to be Online to play a virtual console game?

Hi I have the Nintendo Wii however I dont have online. Sometimes I bring my Wii to my cousins house and play online there, so I was wondering lets say I bought Super Mario Bros 3 at his house and then when I returned home would I still be able to play it even though I am not connected to the Internet at home.|||no when you download the virtual console game it is saved to your wii so you can play it anytime online or not|||No it has to be downloaded onto your console.|||you need to be connected to download it,after that you dont.it stays on your console until you delete it.