I think John is born in Rydaholm at the date you have. But I think he is not calling himself Nystrom in Sweden, but Johansson. His father could be Johan Peter Jonasson and mother Lisa Jonsdotter. They had several children among them one boy Peter Johan born 07/12/1859, who emigrated 1892. The also had one boy called Anders Johan born 12/11/1853. Perhaps this is a clou for you.