I've also heard that often the mother would approach the court and a Bastardy Bond produced because if later she approached the "Parish" for assistance then they would want to know why the father wasn't giving any support.
Also the child was often baptised so that it became a member of the community. Again, if later they were not members of that parish they could have been sent back to the parish they belonged to, thus Removal Orders.
This is probably a very simplified way of explaining things, but is how I understand it, maybe somebody knows the ins and outs a bit better, but that's the way it appeared to me when I came across this.
So baptisms are well worth searching for, but also the Access to Archives site
http://www.a2a.org.uk/ where I found the Filiation Order, as it was called, by searching with the
mother's name, not the childs.
Mary