Your grandmother was Lydia Lindman born 1860 in the US. She became a widow in 1897 and died in 1936. She left among others Kerstin Elisabet Ring, nee Lindman, born 1895. This must be your mother. She died 1949 in Canada (3 children there). A conversation with your aunt Anna Wennberg, tel. 0370/56024 can confirm this. An unmarried aunt named Karin Lindman, Smedjegatan 3, Ljungby, is still alive.
Arvid Annerfeldt, who was likely your father, died 730806. It is not possible to affirm the fatherhood now.
You could take the Lindman name, but isn’t it a little late to change names by the age of 62?