noun

a part of a tree which grows out from the trunk or from a bough.

Sophie was in the branches of a tree eating an apple

bough,limb,arm,offshoot

verb

(of a road or path) divide into one or more subdivisions.

follow this track south until it branches into two

fork,bifurcate,divide,subdivide,split,separate,go in different directions,furcate,divaricate,diverge from,deviate from,depart from,turn aside from,shoot off from,split off from,go off at a tangent from,fan out from,ray out from,radiate from,ramify