Hi Karen,
You didn't provide information on when these people were born but maybe this is your Mathilda.
First name: MATHILDA
Last name: AHLGREN
Age: 25 Gender: K (kvinna = woman)
Parish: GERDSLÖF (Gärdslöv) County: M (Malmöhus)
Title/Note: SÖMMERSKA (dressmaker, seamstress)
Port: MALMÖ
Date: 1886 02 18 (date of registering with the police to leave Sweden)
Destination: NEW YORK NY
Fellows: NEJ (Nej = no. She traveled alone on her ticket.)
Source: 1886:19:2159
I don't see any people who might be your Morten leaving from Malmöhus, but here is someone with about the right name leaving from another part of Sweden. (It is really important to provide information on when people were born, unless the name is very, very rare.)
First name: MARTIN
Last name: HANSSON
Age: 22 Gender: M
Parish: RÖLANDA County: P (Älvsborg)
Port: GÖTEBORG
Date: 1886 08 06
Destination: NEW YORK
Fellows: NEJ
Source: 29:424:D1564
Many from Malmöhus emigrated through Denmark.
It is not unusual that their family name was not permanent in 1886. The law requiring such a permanent family name was passed in 1901.
Read about Swedish naming customs on the SweGGate website.
http://www.sweggate.com Follow this pathway.
Facts --> Names and Naming Practices
Good luck!
Judy