There are no real princesses in Sweden at this time, as the Swedish crown is elective.
However, Valdemar Birgersson (Bjälbo) who ruled Sweden 1250-1275 had a few daughters.
Ingeborg Valdemarsdotter (Bjälbo), born 1261 or 1263, married Count Gerhard II of Holstein 1275.
Marianne Valdemarsdotter (Bjälbo), unknown birth date, married Count Rudolf of Diepholz 1285.
Rikissa Valdemarsdotter (Bjälbo), unknown birth date, married Duke Przemyslaw II of Poland 1285.
Valdemar Birgersson had two more daughters, Margareta and Katarina, but they died 1283 and 1288 respectively, and Kararina had become a nun just before she died.
As you can see, there's little royal marriages for the daughters of a Swedish King.
Magnus Birgersson (Bjälbo) who ascended to the throne after deposing his brother Valdemar in 1275 had several daughters as well.
Ingeborg Magnusdotter (Bjälbo), born about 1277, married Danish King Erik Menved 1296.
Rikissa Magnusdotter (Bjälbo), born 1285 or 1287 and turned over to a monastary to become a nun at the age of 6.