breed the male and female Pokemon
example:male pikachu + female pikachu=pichu
put them day care center give it to the woman
No. Legendaries can't "make eggs".
Yes. You can get an egg for free in one of the towns and you can 2 compatible pokemon in the daycare and they'll make an egg.
ditto and wiglituff
yes it does
You need to run around like mad for 30 minutes!(in the game)
No
Wynaut
No
waynaut
it is an egg that is unhatchable no matter how many steps you take.
Budew cannot be found as an Egg nor in the wild in Pokemon Sapphire. This Pokemon only existed in Generation IV and up.
You will need to walk/run/bike a certain number of steps to hatch the egg.