Hi, thank you for your question. Just a bit more information required to fully assist you:
-How old are the the two children?
-Is the biological father on their birth certificates?
-Why does your partner seek PR?
Thanks for confirming. As the father is refusing to agree to this your partner should consider applying to court for a parental responsibility order using Form C1 and a £215 court fee to your local family court. The father must be served with the application and he has a right to object to it and the court will make a decision that is in the children's best interests.
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My name is ***** ***** I have been a solicitor for more than 35 years.
Your partner will have a greater chance of success if he applies for a step-parental responsibility order after your marriage.
The other option is to apply for a Child Arrangement Order stating that the child lives with you and your partner - this will give him a form of PR.
Both are applied for using a form C100 (not a C1)
The Step Parental Responsibility Order has more chance of success.
It is highly unlikely that the change of name will be agreed by the court - unless their current name is ***** ***** of their biological father
Please ask if you need further details