My apologies for the delay
The law says that a child is entitled to regular contact with both parents - and the courts will enforce this if necessary.
I am afraid that the fact that he is not on the birth certificate and does not have Parental Responsibility does not change this.
Having said that this man has not shown an interest until now - and there is no way of knowing what commitment he will show in the future.
On that basis whilst it would be wise for your daughter to offer some contact at a local Child Contact Centre
www.naccc.org.uk - for a couple of hours on a fortnightly basis.
If he does not show commitment then your daughter will have independent evidence of this - and it is unlikely that the child would in fact have attached any great significance to the person that she saw at a "play place"
If he refuses the offer then fair enough - he will get no better from court
I appreciate that this is not what you wish to hear - but it is better to avoid this going to court if possible.
Please ask if you need further details