At the Temple of Aset at Giza Pyramid, Aset is honored as Aset-Meskhenet, Aset the Scorpion, Aset-Serqet, Aset-Hethert and Aset, the Lady of the Pyramid.
At the Temple of Aset at Shanhur, Aset is honored as Aset, the Great Goddess, Mut (or Aset-Mut), Nebet Het Nebet Ihy (or Aset-Nebet Het Nebet Ihy), and Aset, the Great, Mother of God.
Sources
Willems, Harco, and Filip Coppens, Marleen De Meyer and Peter Dils. The Temple of Shanhur: Volume 1. Peeters, 2003. pages 47-48 among others.
Zivie-Coche, Christiane M. Giza au Primier Millenaire: Autour du Temple d’Isis Dame des Pyramides. Museum of Fine Arts Boston, 1991. pages 41 and 223-225.