Nut's common symbols are the uterus (symbol of Ninhursag?), sycamore tree, double proboscis, water or pot, the sistrum, a cow or sow and its milk.
The Gods, as represented by the Sun, Moon and other planets, are swallowed by her mouth and born again through her uterus. Due to the precession of the equinoxes the House in which she gives birth changes every 2,148 years. Here referring to the zodiacal meaning of "House."
Another of Nut's names is "She Who Holds a Thousand Souls", since she gives birth to Ra every morning and in her son Osiris' resurrection...
Nut also appears in the hieroglyphic record by a number of epithets, not all of which are understood.
Hathor seems to be the result of a later cultural shift or poltical change that focused on Nut's special epithet of "my house is the sky," equivalent to "Hathor."
Isis, her daughter, shares her symbols.
Because Isis adopted the same headdress during the New Kingdom, the two goddesses [Hathor and Isis] can be distinguished only if labeled in writing.
Egyptian texts often speak of the manifestations of the goddess [Hathor] as "Seven Hathors" or, less commonly, of many more Hathors—as many as 362. For these reasons, Gillam calls her "a type of deity rather than a single entity."
Note the recurrence of the symbol of Ninhursag and, perhaps, the tied reed of Inanna from prior posts.