(Edit #1 after Carlo's response) It is often claimed that *the notion of natural transformations existed in mathematical vocabulary long before it had a definition*. In fact, I quoted the statement in *italic* from [1, p. 2]. As another example, in [2, p. 70] Ralf Kromer says: *The claim is that there was, at the time when [3] was written, a current informal parlance consisting in calling certain transformations natural and that Mac Lane and Eilenberg tried (and succeeded) to grasp this informal parlance mathematically*. Three years after [3], Eilenberg and Maclane discovered the fact that this notion could be mathematically defined in [4]. However, Ralf Kromer casts doubt on the above mentioned claim, due to lack of evidence (see: [2, p. 70]). (Edit #2 after Eric's comment) My question is, can you supply an evidence of use of the phrase "natural transformations" or its variants in mathematical literature prior to [3]? I must add that in [2] Kromer gives a number of examples of use of phrases such as "natural homomorphism" or "natural projection" in the literature prior to or around the same time as [3], but in each case they turn out to have different meanings. So I am asking for example(s) of use of the phrase "natural transformations", which are really natural transformations. **References:** 1. Peter Freyd: **Abelian Categories** (1964). 2. Ralf Kromer: **Tool and Object: a history and philosophy of category theory** (2007). 3. Samuel Eilenberg and Saunders Maclane: *Group extensions and homology*, Annals Math. (2) **43**, p.p. 757–831 (1942). 4. Samuel Eilenberg and Saunders Maclane: *General theory of natural transformations*, Trans. AMS, **58**, p.p.: 231-294 (1945).