Elizabeth Jane's parents' marriage
Marriage
MUTTON William 21 years Status Single Father David MUTTON
ANDREW Mary Jane 17 years Status Single Father John ANDREW
24 Jun 1878
At the residence of John Andrew Kooringa Bur 115/1104
and William's birth
Birth
MUTTON William
5 Apr 1857
Father David MUTTON Mother Elizabeth NICHOLS
At Kooringa Bur 12/176
and the marriage of his parents - unfortunately parents' names were not recorded in this period.
MUTTON David 21 years Status Single [added: from Fleurieu - father David MUTTON}
NICHOLLS Elizabeth 21 years Status Single
25 Apr 1856
At the residence of Rev W Oldham Kapunda Ade A 26/261
and
MUTTON David - Parents David and Elizabeth nee MAY.
Born c 1836 Cambourne CON ENG. Died 20 Aug 1905 Wallaroo Mines SA. Buried at Kadina. Arrived 1857 TANTIVY .
0ccupation Miner. Lived at Burra, Wallaroo Mines. Religion Church of England.
Married 27 May 1862 Kooringa SA Mary nee SHEAHY, parents Patrick. Born c1835 IRL and died 10 Aug 1900 Wallaroo Mines SA.
Children - John [1863-1881] Mary Jane WEBB [1864-1937], Susan Ann [1866-], Julie [1869-] Emma [1871-1950].
So we have descendants of both David MUTTONS b. c1835/6 claiming his parents as David MUTTON and Elizabeth MAY.
I have no experience of searching in Cornwall but found the following which may help you.
1841 Census from
http://freecen.rootsweb.com/cgi/search.plKerrier, Cornwall HO107/137/12/15/23
Parish Gwennap
Living at Gordon
MUTTON Jane 30 years Mine Lab b.Cornwall
MUTTON Mary 11 years b. Cornwall
MUTTON Grace 8 years b. Cornwall
MUTTON David 6 years b. Cornwall MUTTON William 4 years b.Cornwall
Penwith,Cornwall HO107/142/6/24/10
Parish Illogan
Address - Pool
MUTTON David 35 years Stone Mason b.Cornwall
MUTTON Elizabeth F 35 Cornwall
MUTTON Hannah 15 years b. Cornwall
MUTTON Jane 14 years b. Cornwall
MUTTON Joseph 13 years b. Cornwall
MUTTON William 9 years b. Cornwall
MUTTON David 7 years b. Cornwall MUTTON Maria 4 years b. Cornwall
MUTTON Charles 2 years b. Cornwall
Cheers
Cando