“However bad life may seem, there is always something you can do and succeed at. Where there's life, there's hope.”

actually a quote from The Sphere and Duties of Woman: A Course of Lectures by George Washington Burnap (1848) (p.99 Lecture IV)
Misattributed

Source: The Life of Poetry (1949), Chapter One : The Fear of Poetry
Context: Poetry is, above all, an approach to the truth of feeling, and what is the use of truth!
How do we use feeling?
How do we use truth! However confused the scene of our life appears, however torn we may be who now do face that scene, it can be faced, and we can go on to be whole.
If we use the resources we now have, we and the world itself may move in one fullness. Moment to moment, we can grow, if we can bring ourselves to meet the moment with our lives.

Widely quoted as an Addison maxim this is actually by the American clergyman George Washington Burnap (1802-1859), published in Burnap's The Sphere and Duties of Woman : A Course of Lectures (1848), Lecture IV.
Misattributed

Source: Greybeard (1964), Chapter 7 (p. 203)

Source: As quoted in an article titled Kenya's First Female Radiopharmaceutical Scientist https://allafrica.com/stories/202107250142.html by Magdalene Wanja published on 25th July, 2021.

Source: The Celestine Prophecy: A Pocket Guide to the Nine Insights

Source: Mini Shopaholic

Source: Lullaby