In the first verse, the text here is "To Thee our morning hymns ascended." "Hymns" is sung to an ascending pair of notes (G A), illustrating the meaning.
In the second verse, the text is "Through all the world her watch is keeping." "All" and "world" are sung with melismas (B C and D B, respectively), musically giving a sense of that breadth.
In the fourth verse, the text is "And hour by hour, as day is breaking." Here, "day" is sung with a melisma (G A), giving a more literal sense of that metaphorical "breaking."
In the fifth verse, the text is "Thy kingdom stands and grows forever." "Grows" is sung with a melisma (G A), giving either a sense of the meaning of the word itself or a sense of the drawn-out duration of the modifying adverb "forever." ("Stands" is also sung with a melisma [D B], so if "forever" modifies it too, the same could be said here.)
The last line of the fourth verse is "Fresh hymns of thankful praise arise," sung to this musical phrase:
Similar to what's noted above, "hymns" is sung to an ascending pair of notes (D E), giving a sense of that "aris[ing]." "Arise" itself is also sung to an ascending pair of notes (F# G).