How can I Transfer Dashboard Information from one computer to another?

Solution 1:

All of the preferences/info from Apple supplied Dashboard widgets resides in ~/Library/Preferences. Do a search for anything beginning with widget-com.apple.widget - those are all your widgets.

For stickies specifically, copy widget-com.apple.widget.stickies.plist to the ~/Library/Preferences folder in your new machine, and you'll be all set.

Solution 2:

Why not just use the User Migration Assistant? It will transfer everything over from your account on the old machine.

One bit of advice: If your account name on the old machine is the same as your account name on the new machine, it may not transfer. I'd recommend creating and logging on to a temporary administrator account (in System Preferences -> Accounts), rename your account on the new machine if necessary, and run the user migration assistant from the temporary admin account.