HI,
After looking at Digger SA disks and other researcher's, work I have have come to the conclusion that Elizabeth (Betsy) PEARN is the same person recorded as PARN and PEARCE. You need to check the birth and death and marriage data to see the links.

Betsey Pearn a domestic aged 22 from Jersey departed 30-4-1852 from Plymouth Uk on "Gloucester" arriving Port Adelaide 13-8-1852.
Elizabeth may also be on record as PEARCE and PARN.
Death - 252 / 152 Hindmarsh SA. 18 May 1898 Bowden South Australia
She married 10 Nov 1853 Adelaide South Australia Marriage - book 15 page 436 SA
Christ Church North Adelaide John MUDGE.
Agricultural labourer from Devon arrived 1-2-1850 on "Agincourt" from Plymouth UK aged 22 years.
Born Abt. 1828.
They had 6 children :
1 . Elizabeth Pearn MUDGE born 19 Oct 1854 Bowden South Australia
Birth - book 5 page 60 SA
Married Daniel GOODRICH 09 Jun 1878 Residence John Mudge Bowden South Australia . Marriage - 115 / 892 Hindmarsh SA..

2. Susannah MUDGE born 30 Aug 1856 Bowden South Australia. Died 18 Jan 1947 Prospect South Australia.
Birth - Book 7 page 256 SA.
Death - Book 7 page 266. Adelaide. Died @ Clifton Street Prospect SA.
Married Richard TAYLOR 19 Jun 1878 Bowden South Australia.
Marriage - book 115 page 1203 SA John Mudge residence.

3. William James MUDGE born 30 Apr 1861 Bowden South Australia.
Birth - 20 / 92 Adeliade SA.
He married first Klara Amalia KLEI 01 Oct 1881 Residence John Mudge Bowden South Australia. Marriage - 129 / 43 Adelaide SA.
second Evalina Ada COLLEY 06 Dec 1900 Methodist Manse Bowden South Australia. Marriage - 205 / 876 Hindmarsh SA. Marriage - 205 / 876 Hindmarsh SA.

4. Emily Harriet MUDGE born 05 Nov 1863 Bowden South Australia died 28 Oct 1869 aged 6 years Bowden South Australia. Birth - 31 / 17 Adelaide SA.
Mother recorded as Elizabeth PARN
Death - 36 / 283 Adelaide SA.
Death record shows Emma Harriet Mudge.

5. George Montgomery MUDGE born 05 Nov 1865 Bowden South Australia.
Birth - Book 38 / 596 Adelaide. SA.
Married first Jemima JENKINS 27 Dec 1886 Residence John Jenkins Brompton South Australia.Marriage - 149 / 845 Hindmarsh SA.
Married second Eleanor BEVAN 15 Jan 1889 Residence David Bevan Bowden South Australia.
Birth - 20 / 347 Adelaide SA.

6. Julia MUDGE born 17 Oct 1867 Bowden South Australia. Birth - 58 / 232 Adelaide SA.
married William Frederick Iseler HARRIS 09 Aug 1911 Residence Richard Taylor Prospect South Australia. Marriage - 248 / 335 Adelaide SA.

note. Richard Taylor is the husband of Susannah Mudge.

I would be grateful for any input.
Cheers,
Marlin