So, the two Munks, how were they possibly related?
Stewards of Norway
The Steward of Norway, styled Rigsstatholder in Danish (riksstattholder in modern Norwegian spelling), meaning Lieutenant of the realm (see Steward (office)), was the appointed head of the Norwegian Government in the absence of the Monarch during the Dano-Norwegian union. As Norway was a separate kingdom, with its own laws and institutions, the position of steward of Norway was arguably the most influential position for a Danish-Norwegian nobleman or royal to hold, second to the King.
Stewards of Norway (1536–1814)
Peder Hansen Litle (1536–1551)
Jesper Friis (1551–1556)
Christiern Munk (1556–1572)
Pouel Ottesen Huitfeldt (1572–1577)
Ludvig Ludvigsson Munk til Norlund (9 July 1577 – 1583)
Ove Juel (1583–1588)
Aksel Gyldenstjerne (1588–1601)
Jørgen Friis til Krastrup (1601–1608)
Enevold Kruse til Hjermislov (1608–1618)
Jens Hermansson Juel (1618–1629)
Christopher Knudsson Urne til Asmark (1629–1642)
Hannibal Sehested (1642–24 June 1651)
Gregers Krabbe (1651–20 December 1655)
Niels Trolle til Trollesholm og Gavnø (1656–28 March 1661)
Iver Tageson Krabbe (8 Oct 1661 – 1664)
Ulrik Frederik Gyldenløve, greve til Laurvig og Tønsberg (Jan 1664–1699)
Ove Juel (Vice Governor-general of Norway under Gyldenløve) (1669 – 5 June 1675)
Jens Juel (Vice Governor-general of Norway under Gyldenløve) (5 June 1675 – 9 May 1682)
Just Högh til Fultofte (Vice Governor-general of Norway under Gyldenløve) (9 May 1682 – 26 September 1694)
Frederik Gabel (30 September 1699 – 1708)
Johan Vibe (10 April 1708 – 22 Feb 1710)
Ulrik Frederik Valdemar, baron Løvendal (1 Aug 1710 – 30 April 1712)
Claus Henrik Vieregg (4 August 1712 – 14 July 1713)
Frederik Krag (19 September 1713 – 1722)
Ditlev Vibe (17 April 1722 – 5 October 1731)
Patroclus Rømeling (acting) 1731–1733
Christian greve Rantzau (1733–1739)
Hans Jakob Arnold (acting) (1739 – 11 Sep 1750)
Jacob von Benzon (11 September 1750 – 8 February 1771)
Carl, Landgraf zu Hessen (4 July 1766 – January 1768) (acting for Benzon)
8 Feb 1771 – 25 July 1809 Vacant
Christian August von Schleswig-Holstein-Sonderburg-Augustenburg 25 July 1809 – 11 Jan 1810
Friedrich Landgraf zu Hessen-Kassel 11 Jan 1810 – 11 May 1813
Christian Frederik af Danmark (11 May 1813 – 16 Feb 1814)
In 1873, the position of First Minister was upgraded to Prime Minister.