Edward Randolph died 1861 at Deep Creek, Victoria, Australia
 

This is the son of my 3x-great-aunt. Apparently he left a will, but I can't view any details.

Could someone please give me the information on the probate entry?

I think you can view it for free on the Victoria PRO site:
https://beta.prov.vic.gov.au/search_...in=WILL_SEARCH

It comes up with several documents for him.

If the above link doesn't work, try this one:
https://prov.vic.gov.au/explore-coll...s-and-probates

Administration was (eventually) granted to Henry Randolph of Melbourne, his eldest brother.

Thanks! Very useful.

So that's where Henry Adolphus Randolph went! Some of the children of this family disappeared from view, so it's great to have found them.

Could I find any records about Henry Randolph of Melbourne, Kate?
He should actually be about 5 years younger than Edward.
Edward Randolph - son of Richard and Jane Randolph, baptised 23 sept 1819. Father was a salesman

Name: Edward Randolph
Gender: Male
Baptism Date: 23 Sep 1819
Baptism Place: Long Crendon, Buckingham, England
Father: Richd. Randolph
Mother: Jane
FHL Film Number: 1999420
Reference ID: Item 2

Name: Henry Adolphus Randolph
Gender: Male
Christening Date: 01 Aug 1824
Christening Place: Upper Winchendon, Over Winchendon, Buckingham, England
Father's Name: Richard Randolph
Mother's Name: Jane
Indexing Project (Batch) Number: I04272-6
System Origin: England-EASy
GS Film number: 1999820
Reference ID:

I have copies of some very old, tattered sheets of paper, copied, I think, from the family bible with dates of birth etc.

It seems that Henry could be the one who died in 1885 and had a wife called Caroline. Also children called Julia and Stanley Aubyn Randolph.

Evangeline Julia was born in 1882.
Stanley Aubyn was born in 1886 and died in 1888.

Caroline Sarah Williams married Henry Randolph, probably 1879.

In 1887 Caroline Sarah Randolph married John Bettles.

Record information
Event:marriages
Registration number7737 / 1887
Family name:RANDOLPH
Given name(s)Caroline Sarah
Personal detail
Spouse's family name:BETTLES
Spouse's given name(s)John

Do you mean Henry Stanley Randolph whose death was registered in 1886, Elizabeth? The Victoria BDM site shows his age at death as 32, wife as Caroline Sarah Williams, and parents as H[enr]y [Randolph] and Jane Pollard. He married Caroline in 1879.

There is also a Henry Randolph death in 1858, age 32, parents names John and Eliza. I just mention him in case he could be the father of Henry Stanley.

The newspaper death notice for the Henry who died in 1886, husband of Caroline, gives his age as 32, and says he was the son of the late Captain Henry Randolph of the ship Agamemnon.