The delicate plant in Miss Glenda's hand is flax, an important cultivar in the ancient world.
Historically, flax it has been grown for at least two reasons. First, its seeds are pressed for oil. Called linseed or flaxseed oil, it is edible and is believed to have nutritional/medicinal value.
Second, fibers drawn from the stem are stronger than cotton and can be used to produce twine, rope, and a fine cloth called linen.
Flax seems to have been one of the earliest plants to be cultivated by man. Evidence of domestic flax was found at Jericho dating back 10,000 years before the present.
Miss Glenda found these plants growing near the site of Tell Gezer in Israel.