Anders Peter Andersson (Anders Peter has a date, 70, in the column for Widower or Widow (Enkl. eller Enka))
Wife Emma Andersdotter (Emma has a date, 71, in the column for Married (Gift))
His children in previous marriage (Hans i f.g., literally his in p.m.):
Hedda Josefina, b. 08 Sep 1863, GID 100008.9.46400
Carl Peter, b. 27 Oct 1866, GID 100008.18.64100
Anders Alfred, b. 29 Jun 1870, GID 100008.32.29200
To them both (Bådas, literally both's):
Johanna Ottilia, b. 09 Sep 1872, GID 100008.37.6500
Elin Charlotta b. 07 May 1880 GID 100008.80.39200
Stillborn child (twin of Elin Charlotta)
The previous marriage was between Anders Peter Andersson and Sara Johanna Larsdotter.
When Anders Peter became a widower he had to wait for six months before he could marry again (a widow had to wait for a whole year). He also had to make sure his deceased wife's bouppteckning (property survey) was duly registered (in court) and that the children were allocated their inheritance from her (this was called rätt avvittrade).
The simplest way of finding out about who are these children is doing what I did: look up their birth records. Since these are all SCB records, it's a very fast and straightforward process.
Ingela