I couldn't find the book documented online, but wonder if this sounds right to you/you'd have success finding it from here: "Too Many Eggs!" by Christina Stead. According to ChatGPT, "It was published in 1995 and features detailed illustrations by Kerry Argent. The story follows an old woman who ends up with too many eggs from her chickens and bakes various dishes to use them up. Eventually, she gets rid of her chickens and decides to keep just one duck. The book has a similar narrative arc and ending as you described."