Here's the birth entry from FreeBMD for
Harry Frederick J SMART
Jun 1869 Brighton volume 2b page 219
possibly son Harry birth entry
Harry SMART
Jun 1892 E Preston volume 2b page 361
mmm....
You say Harry & Annie married 1894 perhaps it's not his birth entry
or did they marry later
Here's a link for Sussex OPC perhaps you might get lucky here
http://www.sussex-opc.org/index.php?no=1This may or may not be Annie POOLE on the censuses again certificates would help - you may have luck on Sussex OPC site
1891 130 Southside Springfield Road Preston Hove Brighton
Annie POOLE 1867 Brighton Servant (Head Mary SEARLE)
1881 Convent Of Mercy, Bristol Road, Brighton
Annie POOLE 1868 Brighton Scholar
1871 New Road St. Aubyn Street, New Shoreham
POOLE
Sarah married 1818 Middlesex
Sarah dau. 1848 New Shoreham
Caroline dau 1854
Charlotte dau 1858
John grandson 1864
ANN granddaughter 1868 Brighton
1861 Albion Court New Shoreham
POOLE
Sarah A 1818 Sailors wife Southwark
Mary Jane 1845 New Shoreham
Sarah A 1848
Eliza Emma 1851
Caroline Alice 1853
Charlotte Susan 1860
Ann Elizabeth 1860 New Shoreham