An article I edited during the week quoted a person connected to a certain organisation saying that a recent event was “heartening and encouraging”.
Hearten and encourage are, basically, ‘the same word’. Courage is derived from French cour/coeur, which in turn is derived from Latin cor, heart which is related to Italian cuore, Spanish corazón, and Portuguese coração. Heart is related to Dutch hart, German Herz, Danish and Norwegian hjerte and Swedish hjärta. Both words have the morpheme en, on the end of hearten and the beginning of encourage.
In fact, the further back in history you go, the more literally ‘the same word’ heart etc and cor etc are. The Proto-Indo-European word was *k̂erd. In some languages, the /k/ remained as /k/ (Greek καρδιά kardia, Latin cor and its Romance derivatives). In others, it became /h/ (English heart and its Germanic cognates) and in some it became /s/ (Polish serce, Russian сердце serdtse). These changes are not random, and can be seen in a number of other words such as Latin cornu and centum (originally and still classically pronounced with a /k/) and English horn and hundred. Experiment a bit, and you will hear and feel how similar /k/ and /h/ are – a matter of a few millimetres at the back of the throat. /k/ and /s/ might seem further away, but consider electric and electricity. These changes have happened many, many times, which is how scholars have been able to reconstruct Proto-Indo-European from the evidence of modern and documented historic languages.