Mrs Lynton and her husband, Ilan Lynton, a recruitment specialist from Shoreditch, East London, moved to Israel more than five years ago. It is understood they are now separated.
They have another daughter, two-year-old Elizabeth.
Her lawyer, Ofer Bartal, told the Mirror: “Kayla does not know what to do with herself. After she saw Naomi was unconscious she tried to resuscitate her and she called the emergency workers and police.
“Police are investigating many directions. I don’t know what they really think. They are asking many questions about many things but we don’t yet know what their findings are.”