Through her marriage to Albert I of Hohenlohe strengthened, Elisabeth strengthened the family relations between the House of Hohenlohe and the Counts of Ziegenhain, which had begun when her maternal aunt Agnes of Ziegenhain (d. 1399) had married Count Kraft IV of Hohenlohe-Weikersheim.
John II, the last Count of Ziegenhain, died in 1450 without a male heir.
The House of Hohenlohe, however, asserted that they were the closest male heir, as their son descended from the Counts of Ziegenhain via Elisabeth.
His inheritance was divided between Philip the Elder and Count Simon Wecker of Zweibrücken-Bitsch, who was married to Anna's sister, who was also named Elisabeth.
This inheritance brought Hanau-Babenhausen a considerable amount of territory, most of it in the Alsace and it became almost as large as Hanau-Münzenberg.