Princess Catherine of Württemberg
Princess Catherine Frederica Charlotte of Württemberg (Stuttgart, 24 August 1821 – Stuttgart, 6 December 1898) was a daughter of William I of Württemberg and Pauline Therese of Württemberg.
She was the mother of William II of Württemberg.
Princess Helene of Hohenlohe-Langenburg
Princess Helene of Hohenlohe- Langenburg( 22 November 1807, Langenburg, Principality of Hohenlohe- Langenburg- 5 September 1880, Schleiz, Thuringia) was a member of the House of Hohenlohe- Langenburg and a Princess of Hohenlohe- Langenburg by birth and a member of the House of Württemberg and a Duchess of Württemberg as the second wife of Duke Eugen of Württemberg
Duke Eugen of Württemberg (1788–1857)
Duke Eugen of Württemberg (8 January 1788 – 16 September 1857) was a German prince and a General of Infantry in the Imperial Russian Army during the Napoleonic Wars.
Duke Eugen of Württemberg (1820–1875)
Duke Eugen of Württemberg( 25 December 1820 – 8 January 1875) was a German prince.
Lucas Trelcatius
Lucas Trelcatius( 1542 – 1602), was a theologian and writer from the Northern Netherlands.
Duke Eugen of Württemberg (1758–1822)
Duke Eugen of Württemberg( 21 November 1758 – 20 June 1822) was a German prince.
He was the brother of Frederick I of Württemberg
Duke Eugen of Württemberg (1846–1877)
Duke Eugen of Württemberg( 20 August 1846 – 27 January 1877) was a German prince and a staff officer of Württemberg.
Duchess Elsa of Württemberg
Duchess Elsa of Württemberg (Elsa Mathilde Marie; 1 March 1876 – 27 May 1936) was a daughter of Duke Eugen of Württemberg and Grand Duchess Vera Constantinovna of Russia.
She married Prince Albert of Schaumburg-Lippe.
Princess Mathilde of Waldeck and Pyrmont
Princess" Mathilde" of Waldeck and Pyrmont( 10 April 1801 – 13 April 1825) was a member of the House of Waldeck and Pyrmont and a Princess of Waldeck and Pyrmont and a member of the House of Württemberg and a Duchess of Württemberg through her marriage to Duke Eugen of Württemberg
Prince Frederick of Württemberg
Prince" Frederick" Charles Augustus of Württemberg( 21 February 1808 – 9 May 1870) was a General in the Army of Württemberg and the father of William II of Württemberg.
Frederick was a member of the Royal Family of Württemberg and a Prince of Württemberg.

Question: Are Duke Eugen Of Württemberg (1820–1875) and Lucas Trelcatius from the same country?
Answer: no