Wow, Jackie - A fabulous amount of research you did, in this post and the other! The process of eliminating so many Thomas's is a huge task, and Sonia is so blessed to have you sharing your expertise with that.
There are quite a few Thomas Thompsons who went to Australia. Here is a SUMMARY of Sonia's original post, and some new records we can add after that:
DEATH CERT Thomas Thompson Died 23 JUNE 1896 in Broken Hill, New South Wales, Australia. Age 42, so born about 1854. Born Christiania, Norway Parents: Thomas Thompson Annie Maloney or Mahoney (hard to read; almost same name as Thomas's wife's name) Lived 20 years in South Australia Lived 4 Years New South Wales, Australia Buried by Church of England minister 26 June 1896 CHILDREN listed on death cert: Adelaide Amelia Thompson age 15 (see birth cert; born 1880) Pearl Thompson age 11 ( = Annie Victoria??) Maggie Thompson age 7 (see birth cert; born 1890) Stanley Thompson age 4 (see birth cert; born 1892)
MARRIAGE CERT Married in Willunga (south of Adelaide) in South Australia 09 SEP 1879 SPOUSE Honora (Annie) Daly age 17; father Michael Daly Thomas was age 24; father Thomas Thompson
Births as follows: Adelaide Amelia (great grandmother) born 09 MAR 1880 Goolwa (per state library records) Annie Victoria (= ARL?) 07 DEC 1886 Goolwa (per state library records) Maggie May Thompson born 03 JAN 1890 in Goolwa (per Ancestry.com) Stanley Thompson born 15 MAY 1892 Goolwa, South Australia (per state library records) Wilhemine Maria 25 AUG 1896 Goolwa (per state library records)
BIRTH of Honora (maybe) Norah Daly born 02 SEP 1863 Father Michael Daly Mother Ann Moroney (state library records) Langhornes Creek, South Australia
Honora remarried, to Alfred Probert on 27 APRIL 1907 in Port Elliot, South Australia. Honora buried at Currency Creek Cemetary in South Australia (what is full place name?)
1921 TRIP by Wilhemine Thompson, travelling to San Fransisco from Sydney, Australia, 24 MARCH 1921 Sonia was told the family had relatives in America. (FYI her full name is Wilhelmine MARLES Thompson)
OBIT for Thomas Thompson, The Advertiser, 26 June 1896 stated * Thomas left wife and 4 children * He was a captain and mate on the Murray Darling Steamboats for many years * Held the contract to load and unload wool for the railways * Later got work in the mines "as the boat was laid to rest at Wilcannia"
End of SUMMARY of Sonia's info
Maggie May Thompson also traveled to San Francisco. See Below.
Here's a possible IMMIGRATION record found on Ancestry.com.
Name:Thomas Thompson Estimated Birth Year:abt 1852 Age:26 Port of Departure:Maryborough Port of Arrival:Sydney, New South Wales Voyage Arrival Date:19 Dec 1878 Vessel Name:Escort Origin Location:Norway
Another possibility. Name:Thomas Thompson Estimated Birth Year:abt 1853 Age:23 Port of Departure:Adelaide, South Australia Port of Arrival:Sydney, New South Wales Voyage Arrival Date:31 Jul 1876 Vessel Name:Glenelg Origin Location:London
Another possibility. Name:Thomas Thompson Age:19 Birth Year:abt 1855 Ship Name:Monkchester Port of Departure:London, England Port of Arrival:Brisbane Arrival Date:29 Aug 1874
=========================== RECORDS in AUSTRALIA
Australia Birth Index Name:Adelaide Amelia Thompson Birth Date:9 Mar 1880 Father's Name:Thomas Thompson Mother's Name:Honora Day Birth Place:Goolwa Registration Place:Encounter Bay, South Australia Page Number: 303, Volume Number:236
Australia Birth Index Maggie May Thompson BORN03 January 1890 in Goolwa FATHERThomas Thompson MOTHERAnnie Daly Birth registered at Encounter Bay, South Australia, page 67, volume 451
Australia Birth Index (transcribed on Ancestry.com) Stanley Thomas Thompson BORN15 May 1892 in Goolwa FATHERThomas Thompson MOTHERAnorha Daly
Ancestry.com Birth Record Transcription Wilhelmia Marles Thompson BORN 25 AUG 1896 at Goolwa Father Thomas Thompson Mother Hnorah Daly Birth Registered at Encounter Bay
A trip made by Maggie Thompson in 1917
Name:Maggie Thomson ArrivalDate:16 Oct 1917 Age:27 Birth Date:abt 1890 Birthplace:Goolwa, Australia Gender:Female Ethnicity:Scandinavian Ship Name:Sierra Port of Arrival:San Francisco Port of Departure:Sydney, Australia Destination:San Francisco, California, United States Last Residence:Austria Archive information (series:roll number):M1410:101
A Trip Made by Maggie May Thompson in 1928
Name: Maggie May Thompson Arrival Date:8 Jun 1928 Age:38 Birth Date:abt 1890 Birthplace:Goolova, Australia Gender:Female Ethnicity:English Ship Name:R M S Makura Port of Arrival:San Francisco Port of Departure:Sydney, Australia Destination:San Francisco, California, United States Last Residence:United States Friend's Name:Carlb Johnson Archive information (series:roll number):M1410:235
A 1921 Trip made by Wilhemine Thompson [as transcribed on Ancestry.com]: Wilelmine Thompson, age 24 (born about 1897), single, female Born Goolwa, Australia Occupation: Milliner (=hat maker) Last Permanent Residence: Adelaide MOTHER: Mrs. Probert, Goolwa, Australia Friend's Name: M W Thompson --says this on transcription but I don't see it on the original record DEPARTURE: Sydney, Australia ARRIVAL24 Mar 1921 San Francisco, California, USA Ship: RMS Maramba