This is from the St Helier baptism records,
Date of baptism 12/07/1869
Date of birth 18/01/1868
Child Reginald Walter Valpy Vaudin
Mother Eliza Gordon Macallister
Father's occupation M.R.C.S. L.R.C.P.
Godparents Charles Vaudin Eliza Gordon Macallister
Baptized on the same day but born 6/1/1867 was John de Walden Macallister Vaudin.
In the same register are,
Henry Boyle Beauchamp Saint John - born 13/07/1863
Mary Ellinor Campbell - born 20/07/1864
Edward Henry Osborn - born 21/08/1866
The baptisms of the other 5 or so children are probably in other registers - have a look at www.jerseyheritage.org
Looking back through the census returns Charles' parents were George, an iron founder and Elizabeth.
Of course you may already have all this but if you would like me to check back through the parish records for Vaudin ancestors I am at the Jersey Archive most weeks.