I am related to ALL Giesingers in some way or another because my mother was a Giesinger.
I have a book that is titled "History of the Giesinger (Gisinger) Kinship" written by Paul Giesinger. The book contains the interpretation of the Giesinger family shield, where the name originated from, where the early Giesingers emigrated to and some have a possible solution as to why, pictures, and the genealogy of the Giesingers for a long way back to just about the first Giesinger ever written down and accounted for.
I have been looking in the book for an Anna Maria, a Johann Gregor, and a Kathrina Giesinger with the same birth or death dates to no avail. But I have found multiple Anna's (with no Maria), Johann's, Johann Gregor's, and Kathrina's. In fact I found a Kathrina with a birth date close to the one from one of the responses I read: her father was Philipp Jakob Giesinger, her mother was Barbara Riel, and her birth-date was 1802 and she was born in Alsace.
Please respond if you find other names with the last name of Giesinger, because they may be in the book! or if you are interested in some of the Giesinger history.
P.S. Giesinger can also be spelled Geisinger and Gisinger, it doesn't matter, I'd still be related somehow!