"Is it a good idea to cart your baby around while handing out your CV? Yes, of course it is. What a strange question."
Well I asked it and I don't think it's strange. If I was a prospective employer, it would make me think that the mother couldn't organise herself. I would have similar misgivings about the half-purple hair (though it would depend on the job).
So you're saying that if, for example, the woman in question went out to run some errands, taking her two children with her as she didn't have short-term childcare available on tap, and decided to hand out some CVs while she was at it, you would consider her disorganised? I would admire her for multi-tasking.
And having purple hair does not prevent you from being a good bar-maid. Things have moved on since the 1950s 