「Tree with added structure」are growing BRANCHES, and as「twisting crotches」refers to where the branches join the trunk as they rotate in positioning up a tree. TO WORK WITHOUT SLEEP clearly refers to the elements as「skill with a woody」and as a counting classifier for relatively straight, stiff, long, and thin objects: a「woody screwing crotch」is not likely solely a reference to the BRANCH-LIKE STRUCTURE of a male's erect appendage extending from his groin, since after a few minutes and/:or a few sessions, the buck stops here for all males. Hence, the「skills working throughout the night」are likely those of a service provider (see 妓) counting the sum of the night's relatively straight, stiff, long, and thin objects. Obviously, most males can only count from zero up to one with reference to himself, so this counting of multiple long stiff objects can only be performed by someone keeping score, time-motion study data, or billing records with a succession of clients.
「Woody with chest obstruction, support from beneath」seems to depict a service provider astride and atop a supine client or two, or three, or a client performing mammary intercourse astride a supine service provider who was attempting to get some needed rest, i.e., TO WORK WITHOUT SLEEP.
Note that the food edamame is derived from the two glyphs 枝 and 豆, and while it has been assumed that this name for green, young tender soybeans was coined because 2,200 years ago the beans were served on plates to people while still attached to the plant stems (incredible, isn't it?), that idea is merely a recent myth based upon the revised modern published meanings of these glyphs in the effort to explain the name of this food. Actually, beans that were young, tender and green referred to「young tender clitorises working throughout the night without sleep and skill screwing woodies with crotch.」…becoming green as they were covered by gonorrheal gleet from successive clients. Of course, if the truth were thusly told, the appeal of eating the item may diminish somewhat. In short, the name is derived because the beans are green, soft, warm and wet when eaten, popped into one's mouth by gently squeezing the surrounding pod, a pod structure having two sheaths by the way, a slippery inner cavity and outer skin covered by plant pubescence (hairlike structures)…strongly resembling a「warm juicy cavity with two sets of lips and a bean inside.」

External source definitions …excluding politically incorrect concepts and other meanings deemed offensive today; may include extended definitions, euphemisms, and mnemonics)
Chinese: branch; classifier for sticks, rods, pencils etc
Japanese EDRDG: bough, branch, twig, limb, counter for branches
Unihan extended: branches, limbs; branch off

Used within names (nanori)
え　･　ぐさ