Adrian van der Donck's ' Description of New Netherland' lists several plants as part of the standard medicinal garden, including lavender, a modern favorite. Most lavender cultivars cannot survive the winter in New Netherland, so it is possible that these were kept in pots, or planted in a protected spot near the house.
"The herb garden is also tolerably well supplied with rosemary,
lavender, hyssop, thyme, sage, marjoram, balm, holy onions,
{ajuin heyiig,) wormwood, belury, chives, and clary; also,
pimpernel, dragon’s blood, five-finger, tarragon, (or dragons-
wort,) &c. together with laurel, artichokes, and asparagus,
and -various other things on which I have bestowed no
attention." https://www.loc.gov/resource/gdclccn.01015857/?sp=62&st=text&r=0.059,0…;
Lavender buds may have been used to scent drawers and keep woolens free of moths.