Black-and-white Warbler (Mniotilta varia) - 31Dec2015 and 28Jan2017

The Black-and-white Warbler as described on the Cornell website: "One of the earliest-arriving migrant warblers, the Black-and-white Warbler’s thin, squeaky song is one of the first signs that spring birding has sprung. This crisply striped bundle of black and white feathers creeps along tree trunks and branches like a nimble nuthatch, probing the bark for insects with its slightly downcurved bill. Though you typically see these birds only in trees, they build their little cup-shaped nests in the leaf litter of forests across central and eastern North America."

Here is a good set of photos of one from Eleuthera where the birds winter.

Here is a photo from the Green Swamp in NC in 2018.