Is there a term for a child born after the death of its sibling?

I have family experience of this and it was described as "second and only child."

It's often a difficult topic for the parents to discuss and the above statement is easy to understand.

In 1964 psychologists Albert C. Cain and Barbara S. Cain coined the expression:

Replacement child to refer to a child conceived shortly after the parents have lost another child.

In 1980, clinicians Robert Krell and Leslie Rabkin identified three types of replacement child: the "haunted" child, who lives in a family overwhelmed by guilt and silence, the "bound" child, who is incomparably precious and sometimes over-protected, and the "resurrected" child, who is treated as a reincarnation of the dead sibling.

(Wikipedia)

Google Books shows that usage the expression “replacement child” has increased consistently from the ‘60s especially in medical, academic and specialized papers.

But the expression can be found also in more popular online papers such as:

www.theguardian.com:

I'm a replacement child - When Maria Lawson's older sister burned to death aged four, her mother was told by the family doctor to have another child. Which is how Maria came to be born, and – unbelievably – christened with the same name as her dead sibling

and

www.huffpost.com

The Gift of Being A 'Replacement' Child - I grew up believing that I was a replacement child, for I was given life after another child lost his: a brother my family loved and missed, and whose absence cast an obvious shadow over my grieving mother's heart.

Usage note by @Laurel

“This term originated in the field of psychology. Outside of the field, it should be used with care, as the death of a child is an especially sensitive subject, and the expression can be interpreted as an extremely callous thing to say.”