
Thomas Sharkey, 21, and eight-year-old Bridget died following the blaze at their home in Helensburgh on Sunday.
Their parents, Thomas snr, 55, and 46-year-old Angela, remain in a critical but stable condition in hospital.
Police said they set up the email address and an extra phone number after a "huge response from the public".
Parents survivedThe fire at the Sharkey family home in Helensburgh's Scott Court broke out at about 05:00 on Sunday.
Thomas Sharkey Jnr died in the blaze, while his sister Bridget died later in hospital.
Angela and Thomas Sharkey are being treated at Glasgow Royal Infirmary, where Mrs Sharkey has still to be informed of her children's deaths.

The officer in charge of the investigation, Detective Chief Inspector Anne McKerchar, said officers had been "really encouraged by the response from the public who are clearly appalled at this cowardly and despicable crime".
"We are continuing to conduct door-to-door inquiries and are following a number of lines of enquiry," she said.
"We have always said that the key to this investigation will be someone in the community who knows who did this and the people in Helensburgh have responded to our call in great numbers.
"That's why we're setting up an additional phone line and dedicated email address.
"I continue to urge the public to come forward with information, it could be that small piece of information which completes the jigsaw and helps us catch the person or people who did this."
The additional number for people to call is 01389 822162. The dedicated email address is: operationendeavour@strathclyde.pnn.police.uk
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