Unless the father has legally given up all rights to the child, he is the one who should have, and can go to court and get those parental rights. Don't make him and your child go through that for the wrong reasons. Your child needs his father, especially now and you would be doing what was best for him by seeing that the transition is cooperative. How would your child feel if he were passed on to someone not even related? Make sure he stays with and is surrounded by his family. I am so sorry for your situation and it must be so painful for you to even be considering all of these things, but unless there are circumstances you are not disclosing regarding your ex and other relatives, I think you know that is where your child belongs.
Only with parental consent.
A deed poll allows someone in the UK to change a childs name. However, there are some requirements. Everyone with parental influence over the childs life must give their consent, and the child must agree too.
Amy Childs's birth name is Amy Andrea Childs.
Gilbert Childs's birth name is Gilbert Jefferies Childs.
Childs Frick died in 1965.
Martin Childs's birth name is Martin David William Childs.
Daniel Childs was born in 1988.
Earle Childs was born in 1893.
Earle Childs died in 1918.
Roy Childs was born in 1949.
Albert Childs was born in 1930.
Rob Childs was born in 1950.