How do I write the genetive 's on the morpheme level, and what is the difference between a root and a base?

e.g in "children's development"



Are the attempts below correct?

1. higher(adj) education(noun)
high(adj) free, root
-er(adj) bound, suffix, inflectional

educat(verb free, base
-ion(adj) bound, suffix, derivational

2. her deepening unhappiness

her(pronoun) free, root

deep(adj) free, root
-en(verb) bound, suffix, derivational
-ing(verb) bound, suffix, inflectional
un-(adj) bound, prefix, inflectional
happi(adj) free, base
-ness(noun) bound, suffix, derivational