Branch is one and bough is another.
Body.
bole
Limb, or bough.
Limb or Tree Limb Arm or division
limb
Extremity.
limb, bough, scion
Nobody.
Size. A limb is larger than a branch.
"Member" has a number of meanings. One of them is "limb".
Appendage. Examples of limbs are: Leg, arm
A prosthetic leg, or prosthetic limb
Based on the Greek word for "tree limb", the spelling is dendrochronology (dating tree age by rings).
That limb was torn loose during last night's storm.