The relationship between the 11-month-old baby and those arrested has not been confirmed.
It is believed the girl was not at her home address at the time of the incident.
Nobody else was injured during the attack.
More top news
The 270 victims of the Lockerbie bombing have been remembered today, 26 years to the day that they lost their lives in the air disaster.
Actress Billie Whitelaw, who starred in films including The Omen, has died aged 82.
Scotland's top prosecutor and an FBI director met to discuss the progress of further investigations into the Lockerbie bombing.