Hi Linda, anmärkningar means remarks and they do list Axel Gustafsson and Stina Nilsdotter as Maja's parents.
As you probably know the church records for Horn were destroyed when the church and vicarage burned in 1851, and very little exists before that time.
However, I have access to an Index of probates (bouppteckningar) for the Kinda Legal District (härad) up to around 1835, which includes people in Horn. In there I found that Axel Gustafsson of Äpplerum in Horn died 1827 June 30, leaving wife Christina (Stina) Nilsdotter and children Gustaf (19), Nils Petter (11), Maria Christina, married to the farmer Johan Nilsson at Bränna, Greta Lisa (13) and Anna Catharina (4).
Another probate shows that Axel's mother, the widow Maria Axelsdotter, died at Äpplerum shortly before 1810 Jan.15, which is the date of the probate. She left the following children: Gustaf Gustafsson of Äpplerum, Axel Gustafsson of Äpplerum, Christopher Gustafsson of Stora Flarka, all of age. Daughter Christina, married to farmer Anders Jacobsson of Äpplerum, and the daughter Catharina (now deceased) who had been married to Anders Andersson and had the two children Gustaf and Maja Lisa, who were minors and whose rights were guarded by Jon Andersson of Löningehult. The farm Äpplerum had been inherited by Maria Axelsdotter.
In 1811 Jan. 15 died Anders Andersson of Äpplerum, leaving his wife Catharina Persdotter, and children from his first marriage: Gustaf and Maja lIsa, minors, whose rights were guarded by their maternal uncle (morbror) Christopher Gustafsson. The chikdren had inherited a place called Finede from their mother Catharina Gustafsdotter.
Catharina had died 1809 Oct.3 at Äpplerum and her probate shows that Gustaf was 16 and Maja Lisa 13 at that time, and Christopher was guarding their rights.
If you wish to have more information you can place a query under Östergötland > Socknar > Horn