Does anyone know the protocol on signing a mothers parenting rights over to either a close friend or family member, so they have full responsibility is this possible?

Unfortunately my daughter is in a foster home due to to an illness I'm suffering from, and at this time I do not feel social services are working in her best interests despite several meetings and investigations I seem to be getting no-where, I am not well enough to care for my daughter so I am thinking that by asking a close friend or family member to care for my daughter with full parental responsibility until such a time I am well enough to care for her myself is this possible and is so how do I go about achieving it?

You find the family member who is willing to do this first, and have him/her petition the court (they can contact your social worker to get started). SS will explain the various options for care or custody.

Can a close friend do this ?

There is no "form" your close friend or family member will have to go to court ( almost always will need an attorney) to attempt to get guardianship, social services will review and see what they feel is in the best interest of the child.

What state?

You can't sign over your rights, however you can give temporary guardianship to someone. You would have to have this ratified by a court. Eventually this person could adopt. But what I think you really want is temp guardianship. This could be given to a willing friend. However, if there are other relatives (like the father) who want custody, they might be given preference.

UK London

My daughters father left me when I was 2 months pregnant he left the country and has had no contact with either of us since, unfortunately I'm not close with any other family members his side or mine, I am just trying to do right by my daughter until such time I'm well enough to care for her myself just not sure how to go about it or who to choose or even if this is the right path for her at all

Absolutely, find a friend or family, someone you know and trust.
I am sure that SS will be happy to take a child out of the overburdened foster care system.
Some of the parents are good and loving, others just want the money.
Plus you will have a better connection with your daughter.
The friend/family and you can say what kind of custody you what, and then the court decides. Their say is what counts.

I disagree with some who posted here saying you can't do it without court &/or agency approval. There are many delegation of parental rights forms available online, and I see no reason why such a delegation wouldn't work. Keep in mind that it is revocable and, in most cases, for a limited period.

I don't see one for England, but again: I don't see why not. Give it a shot. It depends, mainly, on who (such as a health care provider) is willing to acccept it.

All your answers are helpful, I just have such limited support and friends. The person I wanted to ask is unable to care for my daughter because of the size of her house she hasn't got the room, I desperately want my daughter out of foster care for her well being and our long term relationship to work. I seriously don't know what to do ?

Foster care is not a evil thing, I know several foster mothers, and they do wonderful things with the kdis, some even latter adopt some of the kids that are open for adoption

The foster car mum is wonderful my daughter has taken to her wonderfully she isn't the problem it's the actual social services department who I seem to be struggling with. The social worker herself has been causing numerous problems which is even affecting the foster parent herself I don't feel the social worker has my daughters best interests at heart and I feel my daughter needs to be placed somewhere outside of the system