Internet adoption couple Alan and Judith Kilshaw say they may leave Britain.
Mrs Kilshaw claims the press has been paying people in their home town of Buckley to say things about them.
And she revealed that the couple are now looking for a new home - possibly abroad.
The twin six-month-old girls, Kimberley and Belinda, have been taken into care by Flintshire Social Services. Mrs Kilshaw told a press conference: "No explanation was given, which I found disgusting".
She said the couple would continue the fight to get the girls back, but when asked what she would do next, Mrs Kilshaw replied: "Try to relax, look for a new house, a new home - possibly a new country".
She added: "Thanks to the press we have been slighted so much. The press have been paying the people of Buckley to say things about us. Buckley is a small place, it's impossible to go out of the house".
Asked if he thought the adoption process had been unethical, Mr Kilshaw said: "Unusual, maybe, but not unethical".
Mrs Kilshaw said she did not regret taking part in the adoption process, but added: "I regret coming back to England. If I could have foreseen all this, I would have gone to another country."
She added: "We have got fight left, we will carry on, but we can't do the impossible and we have to be realistic. If we have to let go we will let go".
Mr Kilshaw said he had been informed that Flintshire Social Services would be going to the High Court on Tuesday to try to have the twins made wards of court.