Not necessarily because modern technology have muddied the citizenship clause:

All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside.

In addition, we now have a better understanding of life, and with technology advancing as it has, we may get to the point where a woman isn't even necessary to carry a baby... which makes the entire birth side of things rather confusing as (for example) a baby grown completely in an artificial womb should still carry the same rights as one that was carried by a woman.

Additionally, if the founding fathers knew what we knew now about human development, I'm betting they would probably side with the conservatives and consider abortion to be murder.

That said, as high as the infant mortality rate was back in the late 1700's, I'm betting many of them would look at someone wanting an abortion as if it was a really bad joke.