If any dependent of a deceased employee dies, the right of the dependent to compensation under §§ 62-4-12 to 62-4-21, inclusive, ceases. However, if the surviving spouse dies or remarries while receiving or entitled to receive such compensation, that compensation shall be payable to any eligible surviving child or children of the deceased employee in accordance with § 62-4-12. Upon remarriage of the surviving spouse, payments to the eligible surviving child or children as provided for in this section may not commence until the expiration of two years from the date of remarriage.
SDCL 62-4-22