What do I do whether my cat does not be in motion external to do her commerce after she have given birth?
get a litter box and let your cat be a indoor cat ONLY, its the simply way to keep them safe and prevent them from pooping surrounded by someone else's yard. And no they do NOT always put in lower than the dirt.
Get a litterbox and put it nearby, keep that clean, and buy some non-aerosol nouns freshener. Cat poop is some of the smelliest out there although ironically cats are probably the cleanest pet one could have. I suggest non-aerosol because some of the aerosol might hurt the kitten's tiny lungs, and besides, most are bad for the environment.
Answers: Locate a box in reach of her indoors, so she can use it without the creeps that something will attack the kittens.