Millions may have lauded Barack Obama's Inaugural speech but what remained unheard was what was said by a First daughter to her father, and between the new President and his predecessor after the swearing-in ceremony.

According to a lip reader, the first African-American president of the United States, just after the ceremony, asked George W Bush: "You OK?"

As to what was Bush's reply, according to The Sun, the lip reader said: "So relieved."

The 43rd president had later informally handed over his former White House residence to Obama saying: "It's all yours now - good luck."

And while thousands cheered the hope brought about by their new leader, seven-year-old first daughter Sasha was said to have told her president-dad: "That was a good speech, perfect."