After having served in Denmark, he left for the Danish West Indies as a lieutenant in 1777.
This militia participated in the Battle of Køge, where Oxholm together with a handful of soldiers barricaded themselves in the cemetery at Herfølge, a small town in the middle of Zealand.
[2] He was the owner of the St. George Hill, Sally's Fancy, Concordia (East), and Hope plantations.
Oxholm was first married to Marie Heiliger, who died in 1794, and later to Ann O'Neill (3 February 1780 – 16 August 1844), daughter of a plantation owner on St. Croix.
He purchased a mansion at the corner of Sankt Annæ Gade and Amaliegade in 1808.