PROV has a will which looks as though they it may be your chap.
Thos D GRIGG, d 7 Dec 1863, carpenter, lived in Melbourne. Unfortunately this is not digitised but Administration granted to Mary A GRIGG
http://proarchives.imagineering.com.au/index_search.asp?searchid=54 You may find others there as well.
The following is from electoral rolls - all with surname GRIGG
1909 at 117 Argyle St, St Kilda East
Alfred Charles, plumber
Sarah Ann, home duties
Edward Charles, clerk
1914 at Graylings Ave, St Kilda
Alfred, Sarah and Edward and Arthur Benjamin, brass-moulder
1919 at Graylings Ave, St Kilda
Alfred, Sarah and Edward
1924 at Graylings Ave, St Kilda
Alfred, Sarah and Arthur with Henry Alfred, plumber
1931 just Alfred and Sarah at Graylings Ave
1936, 1937 just Alfred Charles GRIGG plumber at 68 Holyrood St Sandringham (Walter James (plumber) and Ruby Emila GRIGG are also living in Sandringham)
1942 Alfred Charles GRIGG plumber at 12 Carrington Gr SE 2 (Caulfield West)
Lots of GRIGGs at the National Archives
http://www.naa.gov.au/collection/recordsearch/index.aspxCheers, Judith