Claus,
This is the family on 31 December 1890, according to Arkion.
http://www.arkion.se Homeparish: Näsby
Residence: Frövi Jernvägsstation (Köpingslikt område)
County: Örebro
SVARvolume: 000336 Card nr: 13
Page: 6 Row: 32
Persons in the household
Fam nr: 1
Adolf Fredrik Jansson f. 1848 in Snaflunda, Förman
wife Aug:a (Augusta) Maria Nylund f. 1839 in Snaflunda
s. Axel Ivar f. 1876 in N:y (probably Näsby)
s. Helmer Emanuel f. 1878 in N:y
s. Johan Fridolf f. 1880 in N:y
From Arkion, as of 31 December 1900:
Homeparish: Näsby
Residence: Frövi Jernvägsstation
County: Örebro
SVARvolume: 188504 Card nr: 9
Page: 6 Row: 50
Persons in the household
Fam nr: 1
Adolf Fredrik Jansson f. 1848 in Snaflunda, Stationskarl
Augusta Maria Nylund f. 1839 in Snaflunda
Homeparish: Björskog Västmanlands län
Residence: Valskog station
County: Västmanland
SVARvolume: 190019 Card nr: 1
Page: 28 Row: 50
Persons in the household
Fam nr: 1
Axel Ivar Jonsson f. 1876 in Näsby Örebro län, Stationsbokhållare
Homeparish: Örebro stads
Residence: Klostergatan 30-32 B
County: Örebro
SVARvolume: Card nr: 10
Page: 203 Row: 23
Persons in the household
Fam nr: 1
Helmer Emanuel Jansson f. 1878 in Näsby Örebro län, Putsare
Homeparish: Axberg
Residence: Ervalla Station
County: Örebro
SVARvolume: 999999 Card nr: 1
Page: 18 Row: 35
Persons in the household
Fam nr: 1
Johan Fridolf Jansson f. 1880 in Näsby, Telegrafist
Check the site for the Örebro stadsarkiv. It has emigrant and immigrant indexes which can be downloaded into a spreadsheet. They would be interested in information about your Axel Ivar too.
http://194.103.205.88/stadsarkiv/emigrant_immigrant_eng.htm The first FAQ on this page tells how to find living relatives in Sweden.
http://www.augustana.edu/administration/SWENSON/genfaq/ Maybe you already have this information from the Emihamn database of CD Emigranten, but here it is anyways.
First name: A I
Last name: JANSON
Age: 26 Gender: M
Parish: NÄSBY County: T (Örebro)
Port: GÖTEBORG
Date: 1902 06 20
Destination: HAWARDEN IOWA
Fellows: NEJ
Source: 70:319:1335
Judy