Thanks so much for the reply. So it's likely that Ane Else Dahl conceived in Kobenhavn but gave birth in Svendborg. I have been stuck at this point in my research for some time now and thought these records might help with locating Hans Petersen's family.
I can't find any record of Ane Else Dahl after the birth of my grandfather, however, I have found her son in foster care in the 1901 census in Svendborg. Would the parish have placed the child in foster care if it (the parish) was financially responsible?
Thanks again for the help.