34 year old Aisling McCarthy Brady, from Lavey in Co Cavan, remains in custody, charged with assault and battery - but prosecutors have indicated they will try to charge her for murder.
Investigators have been revealing more details about the case they're building against her - they say they found new evidence in the baby's bedroom.
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Rehma Sabir died on January 16th in hospital, two days after being admitted.
Aisling McCarthy Brady's denied any involvement in the baby's death.
SKY's Dominic Waghorn is in the US:
