His wife Catharina Maria Bügel socialized with some of the leading figures of the Danish Golden Age after she became a widow in 1817.

He later purchased Det Knuthske Hotel in Frederiksholms Kanal which had a large garden to the rear of the building.

On 21 February 1787, Bügel married Catharina Maria Adzer (29 October 1767 – 25 January 1845) in St. Peter's Church in Copenhagen.

After her husband's death, Catharina Maria Adzer took their four daughters on a journey in Europe that lasted from1817-1819.

Back in Denmark, she socialized with prominent cultural figures such as Christoph Ernst Friedrich Weyse, Hans Christian Andersen, Herman Freund, Bertel Thorvaldsen and Bernhard Severin Ingemann.