with > in exchange for; hence: as

9 (As other women's babes) they sucked vital blood.

they sucked > [did they suck]

306.6

But wondrously they were begot, and bred
2 Through influence of th'heauens fruitfull ray,
As it in antique bookes is mentioned.
4 It was vpon a Sommers shynie day,
When Titan faire +his beames+ did display,
6 In a fresh fountaine, farre from all mens vew,
She bath'd her brest, the boyling heat t'allay;
8 She bath'd with roses red, and violets blew,
And all the sweetest flowres, that in the forrest grew.

5 his beames > his hot beames 1609

1 But wondrously they were begotten, and bred 2 Through influence of the heavens' fruitful ray,

influence > {Emanation from the heavens: the supposed flowing from the stars of an ethereal fluid affecting men's characters and destiny. Derived from the Latin influentem, via French influence}

3 As it in antique books is mentioned.

antique books > ancient books (e.g. Met. 1.416-37, Myth. 4.13)