In “there is always tomorrow, ” why is it there instead of their?

Their would imply that it mentions a human. However, in this case, it's describing a nonliving thing, or "tomorrow." Their should only be used in the case of humans, or a grouping of humans.  

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the answer is: tabard inn, southwark.

in "the canterbury tales," by geoffrey chaucer, the twenty-nine diverse group of pilgrims is staying at a tavern in southwark, london, as they are traveling to canterbury. they wish to visit the relics of saint thomas becket in canterbury   cathedral in order to him for his when they underwent necessities.