I have recurring cold sores next to my right eye. I had it in my eye as a kid as well. I could go blind any time I have it in my eye again. No joke - not exaggerating.
I got it very early as a kid, and kids are bad at not touching their face, so I most certainly moved it from my nose to my eye at some point.
I can also get it on my nose, in my nose, my lips, forehead. So far.
My kid is now almost 3, we were very careful, but he got it a few months ago, had it 3 times in the last three weeks. It destroys our life. We have a 6 month old, it could be life threatening for the little one if they just touch. And even if only mild, explain to a 6 month old he should not scratch his patch off his face...