The fundamental Sky/Sun Gods of Ancient Egypt were Osiris, Horus and Ra. Because of the very large span of time these and other gods flourished in Egypt there is a considerable degree of overlap & permutation regarding the attributes and thus stories.

For example, Horus's character takes on many forms within many symbolic phases. For example, there is a 'text book' idea of him having one eye as the moon and the other the sun, but this should not be considered on any level the finite manifestation of Horus.

As John G. Jackson points out regarding the different versions of Horus:

"...Over a period of thousands of years the various Horuses blended together until there were only two left; Horus the Sun God and Horus the son of Osiris and Isis.
The priniciple Horus Gods were as follows:

'Horus the Elder': His Image was that of a man with a head of a hawk, as a hawk, or a lion."

'Horus the Younger': ... This Horus wore the double crown of the two Egypts...

'Horus of the Two eyes'...'Horus of the Two Hozizons'..."[1]

Regarding the hybird nature of the Gods,
Samuel Sharpe points out:

"The long list of gods...again further increased in two ways. The priests sometimes made a new god by uniting two or three or four into one, and at other times by dividing one into two or three, or more. Thus out of Horus and Ra they made Horus-Ra, called by the Greeks Aroeris. Out of Osiris and Apis the bull of Memphis, the priests of Memphis made Osiri-Apis or Serapis. He carries the two sceptres of Osiris, and has a bull's head. Out of Amun-Ra and Ehe the bull of Heliopolis, the priests of the East of the Delta made Amun-Ra-Ehe. To this again they added a fourth character, that of Chem, and made a god Amun- Ra-Ehe- Chem. Out of Kneph the Spirit, and Ra the Sun, they made Kneph-Ra. Out of Sebek and Ra, they made Sebek-Ra. In this way the Egyptians worshipped a plurality in unity."[2]

At times he forms one of a trinity in unity, with Ra and Osiris, a god with the two sceptres of Osiris, the hawk's head of Horus, and the sun of Ra. This is the god described to Eusebius, who tells us that when the oracle was consulted about the divine nature, by those who wished to understand this complicated mythology, it had answered, "I am Apollo and Lord and Bacchus," or, to use the Egyptian names, "I am Ra and Horus and Osiris." Another god, in the form of a porcelain idol to be worn as a charm, shows us Horus as one of a trinity in unity, in name, at least, agreeing with that afterwards adopted by the Christians--namely, the Great God, the Son God, and the Spirit God. [3[

And as Acharya S Points out:

"In The Egyptian myth, Horus and his once-and-future Father, Osiris, are frequently interchangeable, as in "I and my Father are one."[4]

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In regards to these complex permutaions/overlaps Zeitgeist, The Movie, has encapsulated the general characteristics simply under the title of "Horus".

[1] - Jackson, John: Christianity before Christ, page 112-113
[2] - Sharpe, Samuel: Egyption Mythology and Egyption Christinity(1863) Chapter 2, Page 9.
[3] Sharpe, Samuel: Egyption Mythology and Egyption Christinity(1863) Chapter 6, Page 88-89.
[4] - Acharya S: The Christ Conspiracy, p 114