Here is the relevant part:
As for what the flying woman is holding, My thought is that it may be an infant, symbolizing either the male child taken up into heaven (most likely), of Rev. 12:5:13 When the dragon saw that he had been hurled to the earth, he pursued the woman who had given birth to the male child. 14 The woman was given the two wings of a great eagle, so that she might fly to the place prepared for her in the wilderness, where she would be taken care of for a time, times and half a time, out of the serpent’s reach. 15 Then from his mouth the serpent spewed water like a river, to overtake the woman and sweep her away with the torrent. 16 But the earth helped the woman by opening its mouth and swallowing the river that the dragon had spewed out of his mouth. 17 Then the dragon was enraged at the woman and went off to wage war against the rest of her offspring —those who keep God’s commands and hold fast their testimony about Jesus.
or else one of "the rest of her offspring" (12:17) whom she is trying to save from the serpent.5 She gave birth to a son, a male child, who “will rule all the nations with an iron scepter.”[a] And her child was snatched up to God and to his throne.
On the other hand, it might well be a book, symbolizing "God's commands and their testimony about Jesus" (12:17, too).
As for the animals, one of them is a serpent (12:15), although not one obviously spewing forth anything. There is also the "beast" of Revelation 13. Here is Wikipedia, from "Beast (Revelation)":
The reference to the feet like a bear's and mouth like a lion's is Rev. 13:2. Perhaps that and the Daniel passage are the inspiration for the bear and lion, animals also capable of causing people great suffering. The illumination is not one of judgment; that comes later.... It was like a leopard, with feet like the feet of a bear, and had a mouth like a lion. One of its heads had a mortal wound which healed itself, causing people to wonder at it and follow it. (Revelation 13:1-10) This description draws many parallels with a vision in the Book of Daniel where four beasts symbolizing a succession of kingdoms come out of the sea in the forms of a lion, bear, leopard and a beast with ten horns (Daniel 7:1-7)