[1] She represented the applicant in C(C) v Ireland who was successful in the Supreme Court in declaring part of the Criminal Law Amendment Act 1935 unconstitutional.
[5] The Act created strict liability with no defence of honest mistake to unlawful carnal knowledge.
[6] Her work for the state included serving on the legal team for the Cloyne Report between 2009 and 2010 and prosecuting actions in the Special Criminal Court.
[17][18][19] In April 2020, Murphy was the presiding judge in a for mention hearing of a judicial review case taken by John Waters and Gemma O'Doherty against legislation enacted in response to the COVID-19 pandemic.
[20] She dismissed an application by the plaintiffs to permit some of the "up to 100 people" who had gathered inside the Four Courts to enter the hearing on account of social distancing measures.