In addition to what Bo found, here is one other possibility for Augusta from the Emibas CD:
Andersson Petersson, Augusta Matilda
Piga (unmarried woman)
b. 9/18/1863 in Fivelstad, Östergötlands län (Östergötland)
from Klosterträdgården, Vadstena, Östergötlands län (Östergötland)
Source: Household Examination Roll, p. 217
Emibas migration file ID: Vadstena E 1892 011
Augusta traveled with this woman (a sister?):
Petersson Thorn, Johanna
b. 10/7/1840 in Fivelstad, Östergötlands län (Östergötland)
from Gård Nr 162 B, Vadstena, Östergötlands län (Östergötland)
Source: Household Examination Roll, p. 597
Emibas migration file ID: Vadstena E 1892 010
Emibas returned only one Augusta born Sept 1863 who emigrated 1892 to North America. Something of a long shot since it depends on dates found in U.S. censuses (which are notorious for often being inaccurate).
You may also want to consider trying the resources of the Swenson Swedish Immigration Research Center. They have a huge archive of information about Swedish immigrants and have helped many break down their brick walls. Their website is here: http://www.augustana.edu/x13856.xml
Their database (archive catalog) is online but the archive materials are not. One has to visit in person or hire them to research for you. Might be worth it...