GOD'S WORD® Translation
The woman happened to be Greek, born in Phoenicia in Syria. She asked him to force the demon out of her daughter.

American Standard Version
Now the woman was a Greek, a Syrophoenician by race. And she besought him that he would cast forth the demon out of her daughter.

Berean Study Bible
Now she was a Greek woman of Syrophoenician origin, and she kept asking Jesus to drive the demon out of her daughter.

Douay-Rheims Bible
For the woman was a Gentile, a Syrophenician born. And she besought him that he would cast forth the devil out of her daughter.

English Revised Version
Now the woman was a Greek, a Syrophoenician by race. And she besought him that he would cast forth the devil out of her daughter.

King James Bible
The woman was a Greek, a Syrophenician by nation; and she besought him that he would cast forth the devil out of her daughter.

World English Bible
Now the woman was a Greek, a Syrophoenician by race. She begged him that he would cast the demon out of her daughter.

Young's Literal Translation
and the woman was a Greek, a Syro-Phenician by nation -- and was asking him, that the demon he may cast forth out of her daughter.

Mark 7:26 Additional Translations ...