Since you said none of the info you had was confirmed I thought I would give you what I found for what its worth.
Harris MN is in Chisago County and there is a Swedish emigration record for a Karolina Johansdotter leaving Sweden Sept. 24, 1885 - it shows her as born about 1861 and she is going to Center City I looked it up and Center City is also in Chisago County, MN
so this lookspossible
there is also a Karolina Johansdelton (as indexed, image looks like it may be Johansdotter - hard to read she is age 24, arriving New YorkOct. 10, 1885 on the ship "City of Berlin" it does not say where she is headed
I know the age doesn't fit but she is right name and heading to right place
How sure are you on the birth dates you have? I ask because there is also an Ingrid Charlot Johansdotter born about 1852in Swedish emigration records which show her leaving Sweden April 5 1888, going to St Paul, Minnesota
another has Ingrid Charlotta Johansdotter born about 1853 leaving Sweden May 7, 1880 going to New York
I couldn't find the matching NY entries for either of these Ingrids
There is an Ingrid born about 1854 Sweden who is married to an Emil/Anders Peterson and they live in Fish Lake, Chisago. MN her death in 1927 shows her maidenname as Johanson - father John, mother Mary so father's name is close to Johan, mother ? but she is born 1854, but living in right place so ??
There are some Carolina's in Chisago, MN - born Sweden late 1850's early 1860's one is in Fish Lake, Carolina Jonason,(1861 )husband Erick others are
Carolina Nelson (1861 ), husband Frank - Harris, Chisago - eliminated because parents names wrong in death entry
Carolina Olson,(1859)husband Sven, Nessel, Chisago - elimated her because parents names are wrong in her death entry
Carolina Swenson (1863), husband August, Sunrise, Chisago - did not find a death entry
so I am not sure if one of the other two is the right girl or nmot
I have not found either Karl or Frans in Chisago County MN
I'm sorry that I cannot be more specific but the records are what they are and quite confusing .
I hope there is something here that works out to fit your family.