You can think of -hood as species or kind or group or order or class, and -ship as state.

Neighborhood (the group of your neighbors)

Knighthood (membership in the group or order of knights)

Friendship (a state of amity)

Hardship (a state of difficulty or suffering )

Womanhood (the class of women or membership therein)

Statehood (the group of recognized political entities or membership therein)

I should get extra points for defining a -hood with a -ship and for confusing you with **statehood** :)