In Chapter IX of Thomas Deloney's novel Jack of Newbury, I found the following sentence (emphasis and links added):
Thus lay the poore Draper a long time in prison, in which space, his Wife which before for daintinesse would not foule her fingers, nor turne her head aside, for feare of hurting the set of her neckenger, was glad to goe about and wash buckes at the Thames side, and to be a chare-woman in rich mens houses, her soft hand was now hardened with scouring, and in steade of gold rings upon her lilly fingers, they were now fild witch chaps, provoked by the sharpe, lee, and other drudgeries.
A gallant Neckenger her necke to grace,
No matter for her Gowne, or other place :
Good foote, good legge : theſe two are chiefly fine,
And ſhe that giues her wages muſt decline.
So a neckenger appears to be something that can be worn around the neck, as the name suggests. But what exactly is it? A choker, perhaps?