Hi Tina,
Yes that is your family, but since you already have the birth certificates, then you know they came from the Warnkenhagen region of the old Grand Duchy of Mecklenburg-Schwerin.
Jurgen Holst (Holtz) born probably at Warkenhagen.
Lewis (his son) born at Warnkenhagen
Christine (a daughter) born at Knegendorf, parish of Recknitz
Christina Krueger Holst (Jurgen's wife) born at Gehmkendorf, parish of Joerdenstorf.
The IGI shows from Mecklenburg, Mecklenburg-Schwerin, Germany and we know that is not correct. There was a small town called Mecklenburg, but what I think what happened on this is a member of the church of the Mormons, submitted it this incorrectly. You will find errors in the IGI.