Their prayer was answered by an angel who told them that his name was John, called John the Baptist, who had baptized Jesus in the river Jordan.

He said he had come to restore a portion of the holy Priesthood, even that part which would give them power to baptize for the remission of sins, but not to lay on hands for the gift of the Holy Ghost.
He promised them that if they were faithful this other power would be given them later.
The angel then laid his hands on their heads and ordained them to the Aaronic Priesthood.

He told Joseph to baptize Oliver, after which Oliver was to baptize Joseph.

Then Joseph was to ordain Oliver and Oliver to do the same to Joseph.

All this they gladly did, and immediately they were filled with great joy.
Thus was the power to baptize for the remission of sins again given to the earth.