Welcome to Sharehood.org !
This will soon crystallize into the realm of sharing.
From ‘share’ and ‘hood’ (citing the Merriam-Webster) :
share : 1: to divide and distribute in shares : apportion —usually used with out : shared out the land among his heirs 2 a: to partake of, use, experience, occupy, or enjoy with others b: to have in common they share a passion for opera 3: to grant or give a share in —often used with with : shared the last of her water with us 4: to tell (as thoughts, feelings, or experiences) to others —often used with with
-hood : 1 : state : condition : quality : character <widowerhood> <hardihood> 2 : time : period <childhood> 3 : instance of a (specified) state or quality <falsehood> 4 : individuals sharing a (specified) state or character <brotherhood>