The woman urged her case with increased earnestness, bowing at Christ's feet, and crying, “Lord, help me.” Jesus, still apparently rejecting her entreaties, according to the unfeeling prejudice of the Jews, answered, “It is not meet to take the children's bread, and to cast it to dogs.” This was virtually asserting that it was not just to lavish the blessings brought to the favored people of God upon strangers and aliens from Israel. This answer would have utterly discouraged a less earnest seeker. But the woman saw that her opportunity had come. Beneath the apparent refusal of Jesus, she saw a compassion that He could not hide. “Truth, Lord,” she answered, “yet the dogs eat of the crumbs which fall from their masters’ table.” While the children of the household eat at the father's table, even the dogs are not left unfed. They have a right to the crumbs that fall from the table abundantly supplied. So while there were many blessings given to Israel, was there not also a blessing for he…
"Then came she and worshipped him, saying, Lord, help me."
The EGW passage directly quotes and expands upon the interaction between Jesus and the woman, including her plea 'Lord, help me,' which is found in Matthew 15:25.
"Jesus had just departed from His field of labor because the scribes and Pharisees were seeking to take His life. They murmured and complained. They manifested unbelief and bitterness, and refused the salvation so freely offered them. Here Christ meets one of an unfortunate and despised race, that has not been favored with the light of God's word; yet she yields at once to the divine influence of Christ, and has implicit faith in His ability to grant the favor she asks. She begs for the crumbs that fall from the Master's table. If she may have the privilege of a dog, she is willing to be regarded as a dog. She has no national or religious prejudice or pride to influence her course, and she immediately acknowledges Jesus as the Redeemer, and as being able to do all that she asks of Him. DA 401.2"
"And, behold, a woman of Canaan came out of the same coasts, and cried unto him, saying, Have mercy on me, O Lord, thou Son of David; my daughter is grievously vexed with a devil."
The EGW passage directly recounts and interprets the story of the Canaanite woman in Matthew 15:22, making it a clear explicit allusion.
"The Saviour is satisfied. He has tested her faith in Him. By His dealings with her, He has shown that she who has been regarded as an outcast from Israel is no longer an alien, but a child in God's household. As a child it is her privilege to share in the Father's gifts. Christ now grants her request, and finishes the lesson to the disciples. Turning to her with a look of pity and love, He says, “O woman, great is thy faith: be it unto thee even as thou wilt.” From that hour her daughter became whole. The demon troubled her no more. The woman departed, acknowledging her Saviour, and happy in the granting of her prayer. DA 401.3"
"Then Jesus answered and said unto her, O woman, great is thy faith: be it unto thee even as thou wilt. And her daughter was made whole from that very hour."
The EGW passage directly quotes and elaborates on Matthew 15:28, making it an explicit allusion.
"For ye are all the children of God by faith in Christ Jesus."
Both passages touch on the idea of becoming a child of God through faith. While the EGW passage focuses on the Canaanite woman becoming a child in God's household, Galatians 3:26 speaks more broadly about all believers becoming children of God through faith in Christ Jesus. The connection is thematic, but not a direct quote or explicit allusion.