I may be wrong, but I believe third-class passenger Alfred Rush celebrated a birthday on April 14th -- turning 16. At this age he considered himself a man and stayed back with Frank Goldsmith and Thomas Theobald and went down with the ship.
There were a few passengers who celebrated a birthday during their Titanic voyage. I don't have the info at the moment, but if track it down I'll be sure to post it.
I know I am a little late in posting but I found some others
First-Class Passenger Charlotte Drake Cardeza born in 1854
Third-Class Passenger Karl Gideon Gustafsson born in 1893
Third-Class Passenger Borak Hannah born in 1885
Third-Class Passenger Hanna Youssef Touma born in 1885
Second-Class Passenger Eliza Hockings born in 1858
Second-Class Passenger Johan Henrik Johannesson Kvillner born in 1881
Wireless Operator Jack Phillips born in 1887
Second-Class Passenger Annie Funk born in 1874
Second-Class Passenger Stanley Hubert Fox born in 1876
First Class Steward: Allen Mardon Baggott born in 1884.
Third-Class Passenger Paul Folke Pålsson born in 1906
Third-Class Passenger Anna Sofia Sjöblom born in 1894
First-Class Passenger Edward Pomeroy Colley born in 1875
Third-Class Passenger David Vartanian born in 1890
Some of these may be off, I am in the process of revising my calender, to make sure dates are correct.