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Yes, it is certainly possible. It's almost guaranteed if the father is willing to consent, but a court can still grant a name change even without the permission of the father. But even then, it's not necessarily an "easy" process.
A parent may petition (file a lawsuit) to change his or her child’s name. The parent must make the other parent a party to the lawsuit unless the other parent’s parental rights have been terminated or the parent is deceased. The petition doesn’t require all of the attachments as described for adult name changes above, but it does require the appointment of a guardian ad litem (“GAL”). The GAL must be appointed even if both parents agree to the name change. Also, a hearing is always required in a child name change case, and the GAL will report the findings of his or her investigation at this hearing. While many people are more familiar with a GAL’s role in custody cases, this is one of the unique areas where a GAL is used outside of a contested custody and visitation setting.
Before granting a child’s name change, the family court judge must determine whether the name change is in the “best interest of the child.” When determining what is in the child’s best interest, the judge will consider the following factors:
- The length of time that the child has used the present surname;
- The effect of the change on the preservation and development of the child’s relationship with each parent;
- The identification of the child as part of a family unit;
- The wishes of the parents;
- The stated reason for the proposed change
- The motive of the parents and the possibility that the use of a different name will cause insecurity or a lack of identity;
- The difficulty, harassment, or embarrassment that the child may experience when the child bears a surname different from the custodial parent;
- The preference of the child if the child is of an age and maturity to express a meaningful preference; and
- The degree of community respect associated with the present and proposed surname.
Most guardians charge an hourly rate in the range of $150 to $175 per hour. If the name change isn’t contested by another person (such as father contesting a child’s name change), then the total time spent by the guardian will likely be 2 to 3 hours for interviews and time in court.
You can find the packet with the forms and the specific procedure to be followed here: http://www.uslegalforms.com/sc/SC-NAME-2.htm
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