Hi Kathy 
- the burials of most (if not all) of the RICHARDS kids can be found on FreeREG - the ones in 1840 certainly show up. I only looked in 1840 which seems to show they were buried Stamford (All Saints).
Geoff-E, I appreciate your input but it is Hannah & Harriet that appear to be elusive, which is what Kathy is kindly freely giving her time and research for. Hannah cannot be found on the FreeREG burials and Harriet cannot be found on the FreeREG baptisms. (Feel free to prove me wrong). It would appear there is definitely a Hannah, as there is a baptism for 1833 but we are yet to find a death for that Hannah. As previously posted there is a Hannah on the 1841 census aged 2 which would have her born 1839. Thoughts that this may have actually have been Harriet can be disproved as we have confirmed a burial for Harriet in 1840. So we are also trying to find out what happened to the 2nd Hannah aged two as she did not go to Australia in 1849 with the rest of the family.
Kathy has helped me by confirming the two Stamford Mercury news articles I had been told of PLUS she found Sarah Ann's which I was not aware of and I am grateful for.
From my post #8 in this thread
Incidentally, I think that the Harriet who died aged 6 in 1840 is the Hannah who was baptised in October 1833. If she was baptised shortly after birth then the age would be correct as she wouldn't be 7 until August/September.
Hannah's baptism in 1833 is image 286 on FindMyPast.
Hannah's baptism in the register for the parish church of All Saints in the town of Stamford.
http://www.lincstothepast.com/Records/RecordDisplayTranscript.aspx?oid=551297&iid=291962It wouldn't be the first time a name has been entered incorrectly into a register.
You say it seems to show they are buried in Stamford All Saints, could you clarify that for me then. I live in Australia and "in the Parish of All Saints, Stamford, Lincolnshire" means a suburb or place. Do you mean there is a churchyard or cemetery. Perhaps I was not clear with "where are they buried", I mean physically where are they buried. 
Usually, in ye olde days, a burial entry in the church register meant that someone was buried in the churchyard attached to the church. Sometimes, as Geoff has said, and especially by the early 1800s in the larger parishes (and All Saints is now the largest parish in Stamford and also one of the oldest), burials could have taken place in an 'overspill' burial ground. Perhaps the local vicar could confirm this?
http://www.lincoln.anglican.org/search_parishes.php?13209000The five parishes of Stamford which are in Lincolnshire are All Saints, St George. St John the Baptist, St Mary, and St Michael. On FreeREG, All Saints and St Michael are fully transcribed for the years you want. Baptisms for St George 1832 onwards can be found
http://www.lincstothepast.com/Records/RecordDisplayTranscript.aspx?oid=718398&iid=289910Baptisms St John the Baptist
http://www.lincstothepast.com/Records/RecordDisplayTranscript.aspx?oid=584973&iid=568020Burials for St John 1830+ start
http://www.lincstothepast.com/Records/RecordDisplayTranscript.aspx?oid=584452&iid=288814Neither baptisms nor burials for St Mary 1812+ are available on Lincs to the Past or FreeREG.
Transcriptions of the burial registers by Lincolnshire Family History Society indicate no Richards (or Rickards) burials for young children in any Stamford parish 1840 +/- 10 years apart from the four already found in 1840.
The town of Stamford itself borders Northamptonshire, but there is also Stamford Baron which is in Northamptonshire. Records for which are on FreeREG.
It should be noted that the death/burials notices Kathy found are in the newspaper are not the type of 'family announcements' made nowadays.
