IT IS A QUESTION ON WHAT YOU THINK BECAUSE OF A C-SECTION.
I have a way of thinking about this which I think corroborates scientific and scriptural approaches and can lead to a good common resolve between the currently obsessively opposed political factions in the USA.
A gradual becoming is the very simplest way to describe it. This allows us to view the love and time as an investment in the child as he or she is knit. To borrow from scripture the child is being knit in the womb; but we don't need scripture to know that. Its obvious that the process is gradual. As you allude in your OP there is no point at which you can set down a finger and say "Now! Now its a child!" That is because it is gradual.
Here is the compromise: I realize that some people would love everyone to accept that at some point a supernatural event occurs injecting a soul into that baby, but that is not what 'Knit' means. This does not mean the unborn deserve nothing. They do deserve consideration, however it is neither scientific nor scriptural to impose an instantaneous human suddenness. Its a favorite view of many mommies and daddies, but it is not supportable without a lot of imposition of ideas onto the actual situation. To illustrate how insupportable it is: some claim it also makes a single cell into a complete human being, an impossible position to support either clinically or legally. We simply cannot consider the death of one cell to be equal the murder of a child. We can, however, consider it to be a loss. The fetus is not unloved or unvalued, but it is not fully knit either. This is the most unifying, most moral approach to view things: reflecting reality.
To borrow from Psychology and from Child Development the personality continues to develop after birth.
The best way I think to approach this is the way scripture already does (and which most legal systems do) which is to view time and love as an investment in a person who is becoming a being. The greater the investment, the greater the loss if the life ends.
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The above realistic view can aid with resolving several disagreements about the unborn.
Does a father have any say in what happens? It depends upon what he has invested into the child: time and love. These are things which can be quantized in a court. How long as the child been developing, and does the father love this unborn child?
Who should have custody? It helps determine this.
At what point can the child be murdered versus lost? It helps with this. Can an unborn child be murdered? Of course, but not all unborn can be murdered. The practical consideration is the time, the state of development and the state of the unborn child. Instead of imposing that its instantly a baby, we choose the evidence based knowledge that one is being knit.
It helps with these in a way that can be rationally discussed and unborn life defended while not slapping cuffs onto women or forcing them into inspections.