1 O hateful hellish snake, what Fury first

hellish snake > (Addressing Jealousy) Fury > (In most representations, the Furies' hair is entwined with, or consists of, snakes: see e.g. Aen. 7.342-55)

2 Brought you from baleful House of Proserpine,

baleful > [the] deadly, [the] miserable (perhaps also connoting "hell-fire": cf. 101.16:7) House of Proserpine > (Hell; Proserpine is queen of the underworld, the consort of Pluto)

3 Where in her bosom she you long had nursed,

she > (Presumably, Proserpine rather than the Fury)

4 And fostered up with bitter milk of teen?

teen > grief; woe; pain

5 Foul Jealousy, that turn love divine 6 To joyless dread, and make the loving heart 7 With hateful thoughts to languish and to pine,

pine > waste away