I looked up Jerome in the 1901 Census, it looks to me like he was born in Corran, Co Cork. There are several Corran to be found in the Ireatlas Townland Database at http://www.seanruad.comhttp://www.seanruad.com
Ordering a photocopy is cheaper and contains same info as official cert. The birth record will list his mother's name and you can then search the Civil Registration Indexes for marriages of Jer O'Driscoll. Cross check the entries found against a separate search of marriages for his mother's name. When you find a marriage for Maria that occurs same date and district as Jerome, then order a photocopy of that cert and this should name Jerome's father.