I think the name is given wrongly. She came from a family of scholars in Marburg. The university town of Marburg (an der Lahn) was located in the county of Hesse-Kassel. The name "Lonicera" is not a first name, but the family name. It is the feminine Latin form of the name "Lonicerus". This is the Latinized family name "Lonitzer" of her grandfather Johannes Lonicerus (Johann Lonitzer), who was a famous scholar who also worked on translations together with Luther and Melanchton (among other things). As far as I can see, her mother is unknown. There is no evidence of any connection with the family of the Counts of the County of Hesse-Kassel. I think here a designation of origin has been wrongly interpreted as a name or title of nobility. see https://www.lagis-hessen.de/pnd/129207756, https://www.lagis-hessen.de/pnd/119746514. There are further relatives that should be added here, among them scholars famous at the time (some with articles in the German wikipedia, there are also pictures in some cases). Some information about Johannes Lonicerus and his descendants is in the German Wikipedia. The German Wikipedia also give the names of the parrents of Johannes Lonicerus, although it is not clear where this information comes from.
Suggestion: remove last name "von Hessen Kassel"
Remove Lonicera as first name and enter it as last name, with alternative forms Lonicerus and Lonitzer.
Add ancestors and relatives (I don't have time for this at the moment although I might work on this later, since I am interested in the Lonicerus family for several reasons (I found the Lonicerus family among ancestors of the stepmother of one of my ancestors, and I find these reformation time scholar families very interesting anyway)).