ᘛ⁐ᕐᐷgoofy gooberꈨ 

When you say found family, do you mean family that the character finds after they leave their own terrible biological families (like in Monster Duchess), or do you mean when the MC gets found by their biological family that had been looking for them (like in I Became the Male Lead's adopter daughter)?

Found family is a trope where a few characters (most of the time friends) make a group which is like a family. They share their pain, happiness and everything in between tg

Both not picky just want a feel good story about a happy family

https://www.mangago.zone/read-manga/wind_breaker/
This is my fav found family manhwa. It's so fucking good give it a try

no home/homeless

I wrote a reply and I guess it dissapeared. It's not all found family but they all have a focus on family/friendships:

Cat Street: MC finds a school of rejects and in there gets the support she needs to move on from past trauma and resume acting

Seiyuu Ka: MC's family doesnt support her in anything. She enters the voice acting industry and finally gets the supportive relationships she's never had.

Yotsubato: Just a 100% wholesome plotless manga about a man and his adopter daughter. The kid is really funny.

Bokura no Negai: *Warning* it has inseki. It's a yaoi where the MC ends up taking care of his new step siblings who are basically strangers to him after their parents die I think during their honeymoon.

Naruto: Putting all the ninja shit aside, it's actually a story about a rejected and hated orphan that finds people who love him and support him and eventually gains the entire support of their community. Ngl it make me cry a lot.

there is so many manhwa like that. do you have any other specific fact about the manhwa?

uhh her family had blond hair and she had brown hair? helpful I know

best guess, Lady Evony
check out The Lady and the Beast, The Villainess Reverses the Hourglass, A Capable Maid, and The Young Lady is a Royal Chef.

i hope you find it soon!

its none of those but thanks for trying