No one means any harm by it. Most of us love babies and wanting to touch them seems natural. But if you don't like it, please say.

If your child is immune compromised, or unwell then obviously it is necessary to say something. No one would find it rude - it may mean they have a bit of a think about it and perhaps are more careful next time. Not all of us immediately 'think' before we act!

If you have an issue with people touching your child - just gently ask them not to. It's ok. It's not rude. But then neither should you assume that they are rude by wanting to share a small moment with your little blessing. You never know their history, as Liviam said.

I don't just randomly touch other peoples babies - but i rarely take the time to read their 'slogan' t-shirts either.