Unfortunately you have to have the signature of the other parent acknowledging the name change https://www.google.com/url?sa=t&source=web&rct=j&opi=89978449&url=https://www.mncourts.gov/Documents/4/Public/Forms/Name_Change_Minor_Sept_2014.pdf&ved=2ahUKEwiOmK230NSGAxW18MkDHds2BRkQFnoECDIQAQ&usg=AOvVaw2u87Ls2J01I1nwJfAJyA3E
In my case, I might wait until my kids are adults because they do not want their biological father to be involved with the process because of safety issues
I'm not sure what the laws are about only one parent signing off, but I was told name changes are easiest the first year of the child's life. They misspelled my sons last name on his SSN. I was going to fly with him for Christmas so needed a copy of his birth certificate and they fixed his birth certificate right there, but said I would need to fix his SSN separately (I still need to do that one).