I cannot find the birth record but it would from the following appear to be correct.
1841 Pound Street, Barningham, Thetford, Suffolk
Mary Frost Female 67 1774 Suffolk
William Frost Male 30 1811 Suffolk
Robert Frost Male 27 1814 Suffolk
John Frost Next door 40 1801 All bricklayers
In 1851 Mary born Hepworth, William & John born Barningham are still there.
Also James born Barningham 1805 an Ag Lab.
ROBERT FROST, age 28 father Thomas married HANNAH BARBER, born 1818 father William. Garboldisham, Norfolk 19 Sep 1842
1851 Church Farm, Garboldisham, Guiltcross, Norfolk
Robert Frost Head 37 1814 Bricklayer Master Barningham, Suffolk
Hannah Frost Wife 32 1819 - Garboldisham, Norfolk,
Colin