1. brand: torch.

2. maid of Dian's: votaress of Diana, goddess of chastity.   advantage: opportunity.

3. steep: immerse.

6. dateless: endless; eternal.   still: always.

7. grew: became.   seething bath: spring of hot, bubbling, medicinal waters.   prove: evince as proof.

9. But at my mistress' eye Love's brand new fired: Love has kindled his torch from the mistress' eyes.

10. for trial: to test it.

11. withal: from that.

12. hied: hastened.   distemper'd: ill.