I searched in the Befolkning 1890 (Sw. cencus 1890) CD for boys born 1885-1890.
There were no boys born named Carl Teodor, Carl Theodor or Karl Theodor with a father who hade the surname Gunnarsson, but there was one Karl Teodor:
Gunnarsson Abramsson, Gust. Ad. - worker, b. 1852 in Stala (Göteborgs och Bohus län, Bohuslän), married man, father
Andersdr, Anna Britta - wife, b. 1851 in Långelanda (Göteborgs och Bohus län, Bohuslän)
Alma Eugenia - daughter, b. 1881 in Göteborgs Karl Johan (Göteborgs och Bohus län, Västergötland), girl, child
John Oskar - son, b. 1883 in Göteborgs Karl Johan (Göteborgs och Bohus län, Västergötland), boy, child
Karl Teodor - son, b. 1887 in Göteborgs Karl Johan (Göteborgs och Bohus län, Västergötland), boy, child
David Wilhelm - son, b. 1889 in Göteborgs Karl Johan (Göteborgs och Bohus län, Västergötland), boy, child
3 Roten 57, Göteborgs Karl Johan parish (Göteborgs och Bohus county, Västergötland province)
There were no boys born named Carl Teodor, Carl Theodor or Karl Teodor with a father named Gunnar, but there was one Karl Theodor:
Bengtsson, Gunnar - crofter, b. 1843 in Kvibille (Hallands län, Halland), married man, father
Bengtsdotter, Petronella - wife, b. 1844 in Skrea (Hallands län, Halland), married woman, mother
(Child), Bengt Ludvig b. 1868 Kvibille
(Child), Johan b. 1879 Kvibille
(Child), Birger b. 1882 Kvibille
(Child), Alma Bernhardina b. 1883 Kvibille
(Child), Selma b. 1886 Kvibille
Karl Theodor - son, b. 1887 in Kvibille (Hallands län, Halland), boy, child
Biskopstorp, Kvibille (Halland county, Halland province)
// Bo Johansson