How was the first compiler compiled

more timelines ..
In computing, a compiler is a computer program that transforms source code written in a programming language or computer language (the source language ), into another computer language (the target language, often having a binary form known as object code or machine code ).

Today, the first compiler for a new language is often written in C, but when the language reaches a certain maturity it is often rewritten "in itself".
The first Java compiler was written in C, but later rewritten in Java.
The first C# compiler were written in C++, but recently it has been rewritten in C#.

The first compiler for Perl 6 was written in Haskell (a pure functional language very different from Perl) but now has a compiler written in C.
An interesting case is Rust, where the first compiler was written in OCaml (now it is rewritten in Rust).

I believe that quickly went out of style by the mid-1960s.
While at least several of the compilers of the 1950s were written in assembly (Hopper's famous first compiler for the A-0 language in 1952, and IBM (Backus et team) FORTRAN in 1957.
By 1960 at least one compiler, namely the COBOL compiler for UNIVAC-II was written in FLOW-MATE.