Assuming that this person used that name in Sweden, it would have been spelled Nyberg. Ny = new. Berg = hill, mountain.
This may be your Alma Ahroon, who has an unusual name but then again, I see three hits with that name apparently born in different years. Information comes from the Emihamn database of CD Emigranten. Emihamn was made from registrations with Swedish port police before leaving Sweden.
First name: ALMA A Last name: AHROON Age: 20Gender: K (kvinna = woman) Parish: LOMARYDCounty: F (Jönköping) Port: GÖTEBORG Date: 1896 08 19 (registration date) Destination: NEW YORK Fellows: NEJ (Nej = no. She traveled alone on her ticket.) Source: 58:303:2701
It looks as if she went twice. This is one year earlier. The ages don't match but it really seems that there wouldn't be a lot of people with that name.
First name: ALMA Last name: AHROON CARLSSO Age: 22Gender: Parish: LOMMARYDCounty: F Title/Note: SE (See) CARLSSON Port: GÖTEBORG Date: 1895 10 25 Destination: NEW YORK Fellows: NEJ Source: 56:441:2931
Here is someone who had already been to "Amerika" and was returning from a visit. I don't know if any of these are the same.
First name: ALMA Last name: AHROON Age: 27Gender: K Parish: AMERIKACounty: US Port: GÖTEBORG Date: 1900 10 31 Destination: NEW YORK Fellows: NEJ Source: 66:402:15781