A simple cloth diaper or shawl draped over her would preserve the modesty of other people even if she has none herself
Did you read the story? The baby doesn’t want to be covered and doesn’t care about decorum. Funny, they are like that.
At one time people understood breastfeeding was about the baby, not the breast, and certainly not about you.
Had she been discreet about it no one would have been any the wiser.