Hi, I am not related to this family, but I found the following entry on FamilySearch.org:
"Illinois, Northern District Naturalization Index, 1840-1950," Hilda Christina Peterson, 1929
Name: Hilda Christina Peterson
Event: Naturalization
Event Place: Chicago, Illinois
Event Date: 1929
Birth Year: 1884
Birthplace: Sweden
NARA Publication Number: M1285
NARA Roll Number: 137
Film Number: 1432137
Digital Folder Number: 004641206
Image Number: 09635
Source Citation
"Illinois, Northern District Naturalization Index, 1840-1950," index and images,
https://familysearch.org/pal:/MM9.1.1/XKGL-PWQGood luck!