Inger HALKJELDS - MoR correct record ?

Inger : https://www.digitalarkivet.no/kb20070830640708 Top right Have other evidence such as immigration and marriage for Inger's last name. Can't really make out this record for father but an Inger married Benjamin PEDERSEN and their second female child named Iverine - not a common name and the mother in this record named Iverine so it caught my eye. What is mother Iverine's last name ? What do you think on a correct record for Inger ? What is the birth date for this child ?