I was not able to locate the Michael Heffernan/Mary O'Dea marriage record and I searched on two subscription sites-- Roots Ireland and FindMyPast.ie
I did not locate Michael's baptismal record but did find baptismal records for some siblings in the Doora/Barefield RC parish in Co. Clare. Doora/Barefield baptismal records start in March 1821 so possibly Michael was baptized before 1821 https://registers.nli.ie/parishes/0780
John Heffernan baptized August 14 1828 at Doora/Barefield father Aeneas Heffernan and mother Mary McCormick-sponsors Patrick Heffernan and Honora McCormick
Patrick Heffernan baptized September 16 1831 at Doora/Barefield same parents one sponsor Nora McCormick
Martin Heffernan baptized October 10 1832 Doora/Barefield same parents witnesses Andrew O'Neil Mary Holeran
Not sure if this is the same family--Thomas Heffernan baptized June 12 1839 Doora Barefield father Andrew Heffernan and mother Mary McCormick witnesses Matthew Clancy and Hanna McCormack.
I did not find any records for the O'Dea family.