The following people died in 1544 -
March 22 - Johannes Magnus, last Catholic Archbishop of Sweden, 56
April 30 - Thomas Audley, Lord Chancellor of England, 56
June 14 - Antoine, Duke of Lorraine, 55
July 15 - Rene of Chalon, Prince of the House of Orange, 25
September 10 - Clement Marot, French poet, 47
September 25 - Valerius Cordus, German physician and scientist, 29
December 9 - Teofilo Folengo, Italian poet, 53
Here is the people who's death dates (i. e. January 1) is unknown
Ulick nagCeann Burke, 1st Earl of Clanricarde
Chen Chun, Chinese painter, c. 61
Nilakantha Somayaji, Indian mathematician and astronomer, c. 100
Manco Inca Yupanqui, ruler of the Inca, 28
Bonaventure des Periers, French author, c. 44
Pierre Chambiges died in 1544.
Teofilo Folengo died on December 9, 1544 at the age of 53.
Rajni Bala died on December 6, 2010, in Bombay, Maharashtra, India.
Francisco Vasquez de Coronado was born in 1510 and died in 1554. (see related question)
Michael Kalemnous died on November 18, 2004, in USA.
Clément Marot died in 1544.
Giovanni Soro died in 1544.
Robert Cairncross died in 1544.
John Reynes died in 1544.
Chen Daofu died in 1544.
Thomas Bagard died in 1544.
German Gardiner died in 1544.
Pierre Chambiges died in 1544.
George Monoux died in 1544.
Mogens Gøye died in 1544.
Juan Bernardino died in 1544.
Jacobus Latomus died in 1544.