Please give it a rest with all the 'take your dog out after a certain time in case there are children around' stuff too. How dare you?
Jeez, LadyClarice.
This is a public forum. It is AIBU no less.
Dog owners go around with what is essentially an attractive nuisance on a lead (and often off lead) and complain when people approach it? It's as insane as 'They're all out of step except our Johnny'.
People have a right to take their dogs out. They have a right to expect that others will not touch their dog without asking, just as they have a right to expect that others will not touch them or their belongings without asking.
You are wrong there about a right to take a dog out. It is a privilege. You are also wrong about private property and the responsibilities of owners. The concept of attractive nuisance exists because children are notorious trespassers and pokers of their noses where they don't belong. You can't put an unfenced swimming pool in your front garden. You can't put a trampoline out where children could get unsupervised access to it. You can't leave an old rusty car out where children can climb freely all over it and injure themselves even if your property is bought and paid for. There are limits to your rights as a property owner. Those limits reflect many considerations, including the known and accepted tendencies of children.
If that is in fact how the law is enacted...why would there be a need for cases to go before a magistrate before any decision on guilt is made? Surely it would be as straightforward as, was somebody injured, yes, guilty and only in cases with no injury would there be a need to take it as far as a magistrate.
This happens in order to prevent lynching.
It also means appropriate records of offenders, offences and judgements can be kept.
If there is no injury why the heck would you go before a magistrate... What problem would you want to discuss with him or her? 
Canidae the woman who asked her young child to be quiet around your dogs didn't give a hoot about the equilibrium of your dogs per se. She wanted to make sure your dogs wouldn't be unnerved and bite her child. She was also alerting you to the fact that she had with her a small child and asking you to hold on tight to your dogs.
I agree with Curlew too.
I would like to add that the should behave with their care and concern primarily for the safety and welfare of the children and not the equilibrium of their pets, unless that had a bearing on the safety of children.
There has been so much mention of rights of dog owners here that I am wondering if the safety and welfare of children, annoying though they may be, is what many owners care about at all.