Two journalists died in Wednesday's Cairo clashes, a number of news organizations have reported.
The paper said that Miss Elaziz was not on any official assignment at the time however, and had returned to Egypt on annual leave.
Arwa Ramadan, her sister, told Gulf News Habiba was in the mosque on Wednesday morning.
"My mom spoke to her close to Fajr - early morning prayers-, but she she called again at 12 noon, there was no response. She called again, and somebody picked up the phone and told her Habiba was dead. My dad, who is in Egypt right now, confirmed it later."
Sky News Photographer Michael Douglas, from the UK, was also killed in this morning's clashes, Sky New confirmed this afternoon.
Mr Douglas was in Cairo as part of the Sky News team covering protests in the Egyptian capital. The rest of the team was reported unhurt, Sky News said in a statement.
Mr Douglas had worked for Sky for 15 years, based in Washington and then Jerusalem.
The Head of the news organization John Ryley described him as "the very best of cameramen, a brilliant journalist and an inspiring mentor to many at Sky".
Sky's foreign affairs editor Tim Marshall called Mick "a friend, brave as a lion but what a heart… what a human being", adding he was "humorous and wise".
Prime Minister David Cameron tweeted: "I am saddened to hear of the death of cameraman Mick Deane, covering Egyptian violence.
"My thoughts are with his family and the Sky News team."