Hi,
Bit tricky this one, as you say Alfred died ~1843. So really the 1841 census (index) is required. Best is to send Kevan a Personal Message (PM) asking if he could do a special lookup for you. He may be able to transcribe from the actual info??
From 1851 Harwich index (HO107/1780) there are a LOT of Lambert, including:
LAMBERT JEMIMA 6 ARDLEIGH ESS 393 ARD
LAMBERT JEMIMA 34 GT.BROMLEY ESS 393 ARD
LAMBERT FREDERICK10 ARDLEIGH ESS 393 ARD
LAMBERT ALFRED 25 ARDLEIGH ESS 373 ARD
LAMBERT WILLIAM 22 ARDLEIGH ESS 373 ARD
LAMBERT ROBERT 19 ARDLEIGH ESS 411 ARD
LAMBART JOHN 81 LT.BENTLEY ESS 161 RSY
LAMBERT FRANCIS 57 WICKHAM MARKET SFK 454 LBT
LAMBERT ELIZEBATH57 FRESSIN SFK 454 LBT
LAMBERT JOSEPH 18 RAMSEY ESS 454 LBT
LAMBERT JOHN 24 RAMSEY ESS 454 LBT
LAMBART MARY 17 LT.BENTLEY ESS 456 LBT
LAMBERT HENRY 30 RAMSEY ESS 437 LBY
LAMBERT MARY 30 BRANTHAM SFK 437 LBY
LAMBERT HENRY 2 TENDRING ESS 437 LBY
LAMBERT THOMAS 7mnths LT.BROMLEY ESS 437 LBY
Ardleigh ARD Little Bentley LBT Little Bromley LBY Ramsey RSY
Certainly I would say the first batch look correct, as they are all Ardleigh. Would assume Jemima is correct, so Frederick and Jemima Jnr are from the second marriage, the others from the first marriage, that would tally with facts and dates given? As for the rest???
From 1861 Harwich (RG9), amongst LOTs of others:
LAMBERT ROBERT 30 1096 37 ARD
LAMBERT RHODA 32 1096 37 ARD
LAMBERT RHODA H 1 1096 37 ARD
LAMBERT ELIZA R 4 1096 37 ARD
LAMBERT WILLIAM 32 1096 37 ARD
LAMBERT WILLIAM 5 1096 37 ARD
Ardleigh; Little Bentley; Great & Little Bromley; Elmstead; Lawford
Again some possible useful ones from Ardleigh? No Jemima or Frederick. But Robert is now back with the others?
Good luck,
Geoff.