Is it true that the same player scored four goals in the match between Liverpool and Chester City in 1968 which ended 2-2?

I found a book about trivia and there is the following passage (in Indonesian):

Did you know that in a match between Liverpool and Chester City in 1968, which ended with a score of 2-2, there was something very strange and unique?
Yes, the four goals were created by the very same person.

I found this unique but when I tried to search about this match on Wikipedia, I couldn’t find anything, either in 1967-68 Liverpool F.C. season, 1968-69 Liverpool F.C. season, 1967-68 Chester F.C. season, or 1968-69 Chester F.C. season. The fact that the author of this book did not mention the competition in which this match took place makes it difficult to verify.

So my question is, did this match really happen? If so, who is the name of the player who scored all the goals in that match?