Perhaps this piece wasn't commissioned by the pharaoh, who would have employed the best, but by someone less royal, who simply wanted to bless the pharaoh, and took whoever was available.

Hathor presents palm branches to the pharaoh, which means "length of time" and "years", thereby ensuring he will have a long reign. The figure at the bottom of the branches is supposed to be a tadpole, meaning "100,000". Also, she offers him the ankh, representing her endowing the pharaoh with life.

I found these Hathor name variations when putting "Hathor" into the search parameters at "Ramses Online: an annotated corpus of Late Egyptian". The first two instances are referring to the Seven Hathors, who have influence on destiny.

"The seven Hathors appear at the birth of a child and predict the fate of the newly-born. In the famous story of 'the prince and the destiny' they prophesy that the prince shall meet his death through a crocodile, a serpent or a dog. This prophesy, however, does not imply an inevitable fate, but rather designates three evil chances which can perhaps be avoided. The end of the story is missing, but presumably they are avoided because of the prince's courage, his trust in [the Gods} and the love and care of his wife." (From _Hathor and Thoth: Two Key Figures of the Ancient Egyptian Religion_, by Claas Jouco Bleeker, pages 71-72)

The first example is from this story, I did read all the way to the end, because I was curious which got the prince, and no one knows now. I'll go with Bleeker's optimistic view, though.

The second example is from the Orbiney papyrus at the British museum, EA 10183; The Two Brothers. I didn't read all of it, but learned that the story ends happily, with the brothers Bata and Anpu "at peace with one another and in control of their country".

The next two examples are from the Papyrus Chester Beatty, and the last is from the Salt papyrus, all four papyri are at the British Museum.

The next Hathor sighting is at the Brooklyn museum. I was able to refer all of the museum's photos to creat my trace:

"Kaemwaset was connected with the temple of Amun-Re at Karnak in Thebes (modern-day Luxor). The inscription on this statue invokes that god, as well as the goddesses Mut and Nebethetepet. It would have enabled the deceased Kaemwaset to share in the daily temple offerings to the gods and to participate in the daily rites of resurrection.

"The royal name carved on Kaemwaset's upper right arm dates his statue to the reign of Thutmose IV. The rolls of flesh on his torso are an artistic convention indicating his prosperity. The object that he holds represents the head of the goddess Hathor resting on a protective Isis-knot. On her head is a miniature temple gateway flanked by two volutes. These forms suggest the sistrum, a musical rattle whose sound was beloved by Hathor and other goddesses. The cobra shown in the doorway and two others on the sides also evoke goddesses and their protection."

I could make out the glyphs for Amun and Mut. What impressed me about this piece is how the head of Hathor grows out of the Tyet knot, more examples here. Also, there's a spoon with a Hathor head supported by a combination Tyet and Djed at the Berlin museum