I made a private github repository in which i cloned a repository I needed to work on. I have all their files locally and already finished coding but I am unable to reflect those changes onto my private github repository. 

so this is what i did after cloning the repository 

```
git checkout -b private
git remote add private git@github.com:<github-username>/<repositoryname>.git
git push private -u master

```

however this would always fail
when i tried again it worked but showed this 

```
Enumerating objects: 42, done.
Counting objects: 100% (42/42), done.
Delta compression using up to 8 threads
Compressing objects: 100% (36/36), done.
Writing objects: 100% (42/42), 22.55 KiB | 7.51 MiB/s, done.
Total 42 (delta 15), reused 0 (delta 0)
remote: Resolving deltas: 100% (15/15), done.
remote: 
remote: Create a pull request for 'master' on GitHub by visiting:
remote:      https://github.com/<githubusername>/<repositoryname>/pull/new/master
remote: 
To https://github.com/<githubusername>/<repositoryname>
 * [new branch]      master -> master
Branch 'master' set up to track remote branch 'master' from 'private'.

```

it was supposed to say private -> master
so i know something is not right 

What i am trying to do is have a new branch track my changes and have a remote for my private repository so i can push my new branch to the master branch of my repository but i think it is trying to push to the other person's master.

EDIT:
when i want to push it tells me to use this first

git push --set-upstream origin private

but when i do that i get denied access by the repository i cloned, this is why i think it is trying to push to their master instead of mine even tho i used my username and repository when setting it up