can it be that your 2nd great grandmother was coming from Boerninghausen, County of Luebbecke, Westphalia, Prussia?
Boerninghausen is today part of the city of Pr. Oldendorf, County of Minden-Luebbecke, Westphalia, State of North-Rhine Westphalia, Germany.
There are no documents to find for emigrated women, they were allowed to go, just the young men had to go to the military and that was the reson that they neede permissions to leave.
Was looking for the name Schiermeier but not to find in Boerninghausen today.
Please ask the Mormons for help, they should have the old church Records of the Boerninghausen parish.
I checked the local phone book and here is a Brinkmeier address in Boerninghausen:
Ms. Edith Brinkmeier
Zum Schuerenbrink 5
D-32361 Pr. Oldendorf-Boerninghausen
Phone-no. complete to dial from the States: 01149-5742-2951