first defeat Clair (the last gym leader in jhoto) then when you exit professor elm. will call you saying he has a special thing for you go to new bark town he will give you the master ball
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Not without AR or trading it from another game.
Sorry to disapoint you, but winning the Lottery does not get you a Master Ball in SoulSilver- I should know, I won once using a little trick I found ;) You only get a Max Revive.
Yes, if you have a Pokemon hold a Master Ball and then trade the Pokemon, you will have transfered the Master Ball.
You can use certain moves that trap the Pokemon so that they can not Escape. (Mean look is one of them) You can also put the Pokemon to sleep or use a Master Ball on them.
no it won't be holding a master ball cos when you used the master ball to catch a certain Pokemon, the master ball will be gone in your inventory because it is a consumable.