Looks to be the correct folk, Jo.
Births and deaths of children, born NSW:
2777/1854 V18542777 40 - 12573/1937 WATERS
Charles parents JEREMIAH and RACHEL BURWOOD - married 3203/1877 SCHUTZ Caroline
Funeral notice, 2nd column:
http://nla.gov.au/nla.news-article17360591Obit, 5th column:
http://nla.gov.au/nla.news-article106157250Children:
23847/1878 Arthur Charles - married 4268/1904 NOWLAND Eunice - died 15522/1965
WATERS Arthur Charles Death notice 2 June 1965 Death 86 at Bellingen Hospital, late of Urunga Sydney Morning Herald 4 June 1965
Headstone photo: https://austcemindex.com/inscription?id=7713432
26372/1880 George Geoffrey - died 11212/1885
16148/1882 Ethel Maud R - married 5173/1906 DAVIES Reginald E - died 5301/1936
Death notice, 1st column: http://nla.gov.au/nla.news-article17316454
Funeral notice, 1st column: http://nla.gov.au/nla.news-article17328431
Rookwood: PLOT: C INDEPENDENT_ZONE F/#/450
Ethel M 3 March 1936 age 53
Arthur 11 JULY 1929 age 19
Husband died, 1913, when boiler exploded, 3rd column: http://nla.gov.au/nla.news-article85970959
3rd last column: http://nla.gov.au/nla.news-article85976737
23274/1884 Alfred Ernest - died 19076/1956
25368/1887 William George - married 3623/1910 MCFARLANE Muriel K - died 18855/1940
Death notice, 1st column: http://nla.gov.au/nla.news-article17688446
Funeral notice, 3rd column: http://nla.gov.au/nla.news-article17674828
Plaque photos: https://www.heavenaddress.com/restingplace/northernsuburbsmemorialgardens/william-george-waters/716436
https://www.heavenaddress.com/restingplace/northernsuburbsmemorialgardens/muriel-kate-waters/754312
24978/1889 Frederick Sydney -
married 3281/1916 BRADDICK Gladys M - died 10518/1919 Death notice, 1st column: http://nla.gov.au/nla.news-article15837970
Funeral notices, 2nd column: http://nla.gov.au/nla.news-article15838118Headstone photo: https://austcemindex.com/inscription?id=8492101#images5794/1856 - 15716/1937 WATERS
Mary A - married 3043/1876 GENTY (should be GENTZ) Frederick Charles, 6358/1900 MOFFIT John, 20823/1935 BUSTEED Richard James
Obit, last column:
http://nla.gov.au/nla.news-article94696031Headstone photo:
https://austcemindex.com/inscription?id=8465226#imagesChildren GENTZ:
13712/1877 Rachel Elizabeth - married 9363/1901 EGAN Thomas E - died 14166/1902
26238/1880 Louisa - married 4056/1904 GIRLE Matthew H - died 22103/1955
Death notice, 1st page: https://news.google.com/newspapers?nid=lL5f5cZgq8MC&dat=19550823&printsec=frontpage&hl=en
Death and funeral notices of husband, 1st page: https://news.google.com/newspapers?nid=lL5f5cZgq8MC&dat=19590103&printsec=frontpage&hl=en
17667/1882 Jane - married 4929/1908 Thomas R - died VIC 10320/1950
Death and funeral notices: http://nla.gov.au/nla.news-article205369698
Springvale Botanical Cemetery cremated: Grevillea, Garden J6, Bed 1, Rose 18
Jane: 1 September 1950
Thomas Rosswell: 9 May 1956
Archibald Rosswell: born June 1909 died 6 December 1982 Date of service 9 December 1982
23095/1884 Frederick Charles E - died 17263/1937
Obit, 2nd column: http://nla.gov.au/nla.news-article185372457
26090/1888 William Henry - died 55927/1973 13227/1859 - 10445/1945 WATERS
Alfred parents JEREMIAH and RACHEL MARRICKVILLE
Funeral notice, 4th column:
http://nla.gov.au/nla.news-article1794022110106/1861- 7324/1880 WATERS
Rachel parents JEREMIAH and RACHEL INVERELL - married 3440/1878 WILLIAMS James
11443/1864 WATERS
George17171/1867 - QLD 1940/C/5157 WATERS
John Event date: 23/09/1940 parents Rachel and Jeremiah
12050/1869 - 7059/1927 WATERS
William H parents JEREMIAH and RACHEL AUBURN - married
4882/1889 ELSLEY Rose M
Obit, 3rd column:
http://nla.gov.au/nla.news-article16381059Rose death, type 10 into small, white box:
https://news.google.com/newspapers?nid=lL5f5cZgq8MC&dat=19571003&printsec=frontpage&hl=enHer funeral notice, 1st page:
https://news.google.com/newspapers?nid=lL5f5cZgq8MC&dat=19571005&printsec=frontpage&hl=enChildren:
30158/1892 Ivy Elsie - married 6752/1913 FOLEY William F - died 200140/1985
6756/1895 Alma Harrison - married 16912/192 MARTIN Henry C - died 31123/1964
3973/1898 Eustace Aubrie - married 13482/1921 LAMBETH Laura F I - died 778/1946
32422/1902 Colin Carl - married 11852/1931 MELVILLE Alma L - died 4882/1984
14076/1906 Eunice R - married 2755/1930 MILLS Sydney J
25434/1908 Thelma Gertrude - married 13841/1930 GRIBBEN Robert A
GRIBBEN Thelma Gertrude Death notice 17 July 1993 Death 84 late of Gorokan, formerly of Auburn Sydney Morning Herald 20 July 1993
39291/1910 Grace Daphne - married 10429/1937 CARPENTER William McIntyre - died 25627/1975
32008/1913 William H11526/1871 - 19705/1913 WATERS
Jeremiah Edwin parents JEREMIAH and RACHEL INVERELL
Bankrupt 1901, 3rd last column
Obit, 4th column:
http://nla.gov.au/nla.news-article18593450912525/1874 - 5356/1874 WATERS
Arthur parents JEREMIAH and RACHEL INVERELL
13070/1875 - 4400/1961 WATERS
Ethel E parents JEREMIAH and RACHEL CAMPSIE - married 3951/1902 THOMPSON Gordon P
Jamjar