Relatives of a Scotswoman suspected of helping to recruit three missing London teenagers to Islamic State (IS) have said she is a "disgrace to her family" .

Aqsa Mahmood, 20, went to Syria from her Glasgow home to become a "Jihadi bride" in November 2013 and one report says she has been in touch with at least one of the three London girls, who are aged 15 and 16 and are thought to have flown to Turkey in an attempt to enter Syria.

Shamima Begum, 15, Kadiza Sultana, 16, and 15-year-old Amira Abase, named today by police, who all attended Bethnal Green Academy in Tower Hamlets, travelled to Turkey on Tuesday.

In a statement released through their lawyer Aamer Anwar, the Mahmood family said they were "full of horror and anger that their daughter may have had a role to play in the recruitment of these young girls to IS".

They also sent a message to Aqsa: "You are a disgrace to your family and the people of Scotland, your actions are a perverted and evil distortion of Islam.

"You are killing your family every day with your actions, they are begging you stop if you ever loved them."

The statement also said the UK security services had questions to answer.

It added: "Aqsa's social media has been monitored since she disappeared over a year ago, yet despite alleged contact between the girls and Aqsa, they failed to stop them from leaving the UK for Turkey, a staging post for Syria.

"Sadly despite all the government's rhetoric on IS, if they can't even take basic steps to stop children leaving to join IS, what is the point of any new laws?"

Mahmood, who went to the private Craigholme School in Glasgow, travelled through Turkey to Aleppo in Syria, where she married an Islamic State fighter.

She was reported to have later encouraged terrorist acts via a Twitter account under the name Umm Layth. The account has since been deleted.

Speaking in September, her parents Khalida and Muzaffar Mahmood said their daughter was "well integrated into society".

They also said she was brought up "with love and affection in a happy home" and appealed for her to come home.

Scotland Yard named Amira today amid growing fears for her safety after initially refusing to reveal her identity at the request of her family.

In a statement, Amira's family said: "Amira, We miss you so much, everyone, your family and your friends.

"We want you to come home as soon as possible. All we are hoping for is you to come home safe, we love you so much.

"Please come home Amira, everyone is missing you. You are strong, smart, beautiful and we are hoping you will make the right decision.

"We miss you more that you can imagine. We are worried and we want you to think about what you have left behind.

"You had a bright future, so please return home."

In a direct message to Shamima, her family said they understood she had "strong feelings" about people she believed were suffering in war-torn Syria but warned it was a "dangerous place".

In a statement, they said: "We miss you terribly and are extremely worried about you. Please, if you hear this message, get in touch and let us know you are safe. We want you home with us. You belong at home with us.

"Syria is a dangerous place and we don't want you to go there. Get in touch with the police and they will help to bring you home. You are not in any trouble.

"We understand that you have strong feelings and want to help those you believe are suffering in Syria. You can help from home, you don't have to put yourself in danger.

"Please don't cross the border. Please come home to us. Our mum needs you home and is really worried. We are not mad at you, we love you."

Meanwhile, Kadiza's family said they were "completely distressed" and were praying for the girls' safe return.

In a statement, they said: "Our dearest Kadiza and the two friends accompanying you, we, together, sincerely pray and hope this message reaches you. We pray that no harm comes to you, and you are all safe and in good health.

"In your absence, we, as a family, are feeling completely distressed and cannot make sense of why you left home. Due to the speculation that you may be travelling towards Syria, we are extremely worried about your safety.

"As time progresses, our concerns are increasing more and more. We are sending you our heartfelt love, and continue to pray that you along with your friends safely return to us, or at least contact us to let us know you are okay.

"We all love you dearly and the last four days have been a complete nightmare not knowing where you are and how you are keeping.

"We would like to emphasise that we are not angry with you and you have not done anything wrong. We just want you all to return home, safe and sound.

"We miss you terribly, especially mum, and things have not been the same without you."