There is no Irish equivalent for the French name.
Danielle = Kaniela
Anyone can spell Danielle any way they want to. You may spell it however you want on your child's birth certificate.
Woulfe, Wolfe (In Irish: de Bhulbh)
the Irish for history is stair
stobhach Gaelach
It is spelled Féilim in Irish.
In Irish 'we' is either sinn or muid.
Cora is already in Irish.
Cathal is the Irish spelling.
Danielle Fishel is not Jewish. Her ancestry includes (non-Jewish) German, English, Irish, and Italian.
That is the usual spelling of the female gievn name Danielle. Similar names are Daniella, Danica, Danitza, and Danyelle.
As its not an Irish name there would be no Irish spelling for it