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That's like saying that you can only catch the common cold once... and then never again, for the rest of your life. There are different strains of chicken pox. Because, just like the common cold, it is a virus. And they are renowned for mutating, developing resistance to antibiotics/vaccines, and - in the case of chicken pox becoming shingles. Because I had such a bad dose of one strain of chicken pox as a baby (apparently, my older brothers - one 10, one 14 - only had about 30 sores... oh, wait: spots! The fact that they're weeping, open VZV infested sores - with VZV being one of 8 forms of the Herpes virus to infect humans - I guess ought not to be mentioned in case it upsets those of delicate sensibilities/who have a desire to hold Pox Parties so that they can continue to spread this form of Herpes around their innocent children and those who do have compromised immune systems!) the virus mutated to a point within my still forming immune system so that, for the last 40 years, I've not been infected with any strain of chicken pox since. My entire body was covered, the sores were inside my ears, my mouth, and I was hospitalised because of it. Instead of a "few, pesky spots" now, I get the heavily mutated form of it - Shingles. Which, I don't know if you're aware, is a reactivation of the chicken pox virus - say, by being around someone who has chicken pox (I actually caught it the first time from my DD, when she had her first bout of 'the pox', aged 14 months - she had five spots. A year later, she caught it again and was librally covered). Shingles is where the chicken pox virus stays in the nerve cells of a person's body, and actively affects the nerve endings. If it ends up in the eyes, you can go blind because of it.
So for you to spread the Old Wives Tale that "you cannot catch Shingles from Chicken Pox..." alongside the "you can't catch Chicken Pox more than once!" is, in my opinion heavily irresponsible, and actually quite dangerous. Because it shows a steady and somewhat arrogant refusal to take into account the heavily documented - by scientists and doctors alike - fact that, in this case, what you have touted as being truth on this thread alone, is wrong. Honestly, it's like you're saying "oh, and don't let your child go outside with wet hair, dearie; they'll catch a cold if they do!" (because that's an Old Wives Tale, too, ie, proven to be inaccurate!).
There are a lot of us who have posted here, and many more who I'm sure haven't, who are living proof that chicken pox is nasty, it can be caught more than once, it mutates, and the OP and others like her really do not want to run the risk of their babies/small children ever ending up with Shingles in their lives.
If you've only ever had chicken pox once, and have never had shingles, then that's great for you. But it doesn't mean that your experience is the norm. Just as mine isn't either. Every one is different, after all.
No immune system problems in my family, either. Just a steady comprehension and awareness that Old Wives Tales are precisely that. Stories, because frankly, I think I'll trust the word of a medically qualified paeds consultant who spent years training in his field (my oldest DB), and my/my DC's own doctors, over yours regarding the "does chicken pox become shingles?" debate, thanks.