I suppose that would be Skovlyst between Svendborg (the town) and Faaborg?:http://www.fugleognatur.dk/lokalitetintro.aspx?ID=48989
I found a reference to Skovlyst som lå på Hallingskovvej - I think maybe Hallingskovvej is mentioned in the church book record of birth for Johannes Marius Petersen.
The German spelling of Vodder would be Wodder (as in the posted record). If Ane Elise Dahl was in "Tyskland," that could mean her home parish I suppose, which would have been under German rule 1864 - 1921.