In TP I believe that the following may have happened:
I believe that Link may have been born in Ordon but not to any of the Ordonians, His parents will have been Hylian and is mother gave birth to him and later on she died along with his father (Or maybe his father was not even there).
Other than that the only way I can see Link ending up in Ordon is that his mother was fleeing from something/someone and then dropped him off to the safest place that he could, That could have involved her dieing after.
I believe that Link may have been born in Ordon but not to any of the Ordonians, His parents will have been Hylian and is mother gave birth to him and later on she died along with his father (Or maybe his father was not even there).
Other than that the only way I can see Link ending up in Ordon is that his mother was fleeing from something/someone and then dropped him off to the safest place that he could, That could have involved her dieing after.