Do aborted babies go to Heaven?

This is one that I didn't think would cause a theological tug-o-war on some social media circles, but yet it did.  Some people find it difficult to think babies can go to Heaven without having first heard the Gospel of Christ.   I say, that's fine -- but they have to be born first!  And the sign of the fall in humanity is our sin.  Unless a neonate or a zygote is sinning in thought, word or deed in the womb.  Nevertheless, it's an interesting conversation to have.