I have found the following NSW records
* NSW Birth Record 938/1855 V1855938 42A - Robert J SPINKS, father Robert, mother Elizabeth
* NSW Birth Record 8424/1856 - James E SPINKS, father Robert, mother Elizabeth - Wollongong
* NSW Birth Record 13490/1858 - Alfred A SPINKS, father Robert, mother Elizabeth - Wollongong
* NSW Birth Record 16581/1864 - Joseph H SPINKS, father Robert, mother Elizabeth - Wollongong
* NSW Birth Record 15609/1866 - William W SPINKS, father Robert, mother Elizabeth - Ulladulla
* NSW Birth Record 18783/1869 - Matilda J SPINKS, father Robert, mother Elizabeth - Ulladulla
* NSW Birth Record 17962/1870 Mary L B SPINKS, father Robert, mother Elizabeth - Ulladulla
* NSW Birth Record 18508/1872 Amos Saul Winter SPINKS, father Robert, mother Elizabeth - Ulladulla
* NSW Birth Record 2030/1874 - Frederick Ernest SPINKS, father Robert, mother Elizabeth - Ulladulla
* NSW Birth Record 21222/1876 Rosina Elizabeth SPINKS, father Robert, mother Elizabeth - Ulladulla
* NSW Birth Record 22987/1877 - Elizabeth M SPINKS, father Robert, mother Elizabeth - Wollongong
* NSW Birth Record 23222/1878 - Daniel Prosper SPINKS, father Robert, mother Elizabeth - Ulladulla
* NSW Birth Record 24843/1878 - John Thomas SPINKS, father Robert, mother Elizabeth - Wollongong
* NSW Birth Record 27553/1880 - Robert Edward SPINKS, father Robert, mother Elizabeth - Wollongong
* NSW Birth Record 27553/1880 - Robert Edward SPINKS, father Robert, mother Elizabeth - Wollongong
* NSW Birth Record 27652/1882 - Emma Florence SPINKS, father Robert, mother Elizabeth - Milton
* NSW Birth Record 19588/1882 - Isabella J SPINKS, father Frederick, mother Isabella - Wollongong
* NSW Birth Record 24498/1886 - William H SPINKS, father Robert, mother Elizabeth - Woonona
* NSW Birth Record 24606/1889 - Ethel M SPINKS, father Robert, mother Elizabeth - Woonona
* NSW Birth Record 38613/1890 Lilly A SPINKS, father Robert, mother Elizabeth - Woonona
* NSW Birth Record 27368/1896 - Avis E SPINKS, father Robert, mother Elizabeth - Woonona
* NSW Birth Record 27219/1898 - Walter G SPINKS, father Robert, mother Elizabeth - Woonona
* NSW Birth Record 9107/1901 - Alice E R SPINKS, father Robert, mother Elizabeth - Woonona
I have not been able to locate birth records for the following
* 1860 Riley George Underwood SPINKS
* 1862 Prosper SPINKS
* 1862 Priscilla SPINKS
* 1865 Leslie James SPINKS