Mark 7:25-30:

For a certain woman, whose young daughter had an unclean spirit, heard of him, and came and fell at his feet.
The woman was a Greek, a Syrophoenician by nation; and she besought him that he would cast forth the devil out of her daughter.
But Jesus said unto her, Let the children first be filled: for it is not meet to take the children’s bread, and to cast it unto the dogs.
And she answered and said unto him, Yes, Lord: yet the dogs under the table eat of the children’s crumbs.
And he said unto her, For this saying go thy way; the devil is gone out of thy daughter.
And when she was come to her house, she found the devil gone out, and her daughter laid upon the bed.

See also:

Matthew 15:22-28
Notes on Matthew 15:22-28
According to YOUR FAITH Be It Done unto You!
Different Ways to Get Healed
God’s Blessing on Your Kids
Can I Believe and Receive a Healing for Someone Else?
Objection: Jesus Told a Greek Woman NO When She Came for Deliverance for Her Daughter
Objection: We Should Pray, "If It Be Thy Will" Concerning Our Healing
Objection: God Sometimes Heals Crybaby Christians Who Bug Him Enough Just as He Gave Israel a King When They Kept Bugging Him – Even Though It Wasn't His Perfect Will
Condition: Demon Possession