Mihaela Calin (35), of Brookville, Hunters Lane, Ashbourne, her fiance, Daniel Manea (28), and Daniel Matei (19), all of the same address, appeared in custody before Judge Andrew Cody.
The court heard the couple had only arrived in Ireland last week and had immediately started committing burglaries
Properties in Galway, Westmeath, Tipperary and Offaly were targeted,
The court was also told how Calin was caught clearly on CCTV driving a Mercedes car allegedly used in burglaries in Birr and Portumna golf clubs.
Offences are alleged to have been committed over a six-day period at Portumna, Birr, Roscrea, Rathdowney, Barna and Athenry Golf Clubs, and driving ranges in Loughrea and Athlone.
All three were remanded in custody with consent to bail.