The issue of our rights is generally balanced by issue of responsibilities.
For example, I don't have to risk my life to attempt to swim and save someone who is drowning. But if I just merely sit, watch, and do nothing, claiming that I don't have to use my body to support someone's life... then I can be charged with:
https://definitions.uslegal.com/d/depraved-indifference/
The very least I could do is dial 911 or act like I care. If I begin to throw rocks at the person to make sure he drowns faster, then my motives would be upgraded to something else. So, there's a balance between my rights not to not swim and risk my life, and my responsibilities to do something, which is then considered in context of my motives, abilities to do something, and a wider range of factors, like my relationship to the person drowning.
If I'm a parent of a person who is drowning, then I can be charged with a whole score of crimes, because we put parents-child relationship in a different context than that of a stranger-stranger relationship (the one that you paint in your analogy or a question).
So, the proper question you should ask... is do I have an obligation to use my body to keep my child alive if I don't wish to use my body for that purpose. That would be the immediate and proper context, and that's what you are attempting to hide using this analogy. Perhaps you don't do that intentionally, because you seemed to have copied the question from elsewhere, but that's the proper context of abortion, and not "mere someone".... let's keep going.
I'm trying to break the posts up so it's not a one long running post.