Not sure I follow that. Movement is relative to the medium it's measured against, in this case the ground.
Movement is not always measured relative to the ground. When an airplane is flying through the air it is measuring its speed relative to the air as all of its flight characteristics are only important with respect to the speed relative to the air. Ground speed is only of interest in navigation.
When talking about the speed of sound you're talking about the speed that sound travels through something. In this case the "something" is the air. Let's say the speed of sound is 800mph (depends on air pressure, temperature, etc). If there is a wind going North at 400mph then someone on the ground will measure sounds traveling north as going 1200mph and south as 400mph (with respect to the ground). Someone in a hot air baloon floating along with the wind will measure sound going 800mph regardless of the direction (with respect to the wind).
So, breaking the sound barrier means exceeding the speed in which sound travels in the medium. For the person standing on the ground they could break the sound barrier by traveling south at 400mph, or by traveling north at 1200mph. But the person in the baloon always sees this person as traveling 800mph.
Want to get crazy? Think about the being a passenger on the Concorde. You're traveling faster than the speed of sound through the outside air. But you can still hear the stewardess when she asks you if you want to freshen up your Martini. Why? Because you're brining your own cabin full of stationary air with you. A person on the ground, if they could see the sound waves from that stewardess, would see those sound waves traveling in excess of the speed of sound relative to the ground!
This is why I get a chuckle out of the Lock On Modern Air Combat folks who proclaim how real the game is because the engine noises in the cockpit go away at mach 1. As if an entire vibrating plane, and all the air in it would somehow become a very quiet place once you exceed the sound barrier!
If you stood in a Mach 1 wind you would indeed break the sound barrier. Relative to the wind you'd be going faster than the speed of sound. If you stood on the wing of the Concorde you would NOT be able to tell the stewardess that you wanted your Martini shaken, not stirred, no matter how loud you yelled.
Anyway, back to your windy day. There's no difference between standing on the wing of the Concorde and standing in a plus Mach 1 wind on the ground (with the exception of the startled look on the faces of the livestock wizzing past you). You're still breaking the sound limit. And although you're not traveling across the earth's surface, you are moving very fast relative to our friend in the hot air baloon.