I remember I had bitcoin account with password and some bitcoin in it.
Now that computer is lost long time ago, but I think I still know password and account name.
How can I get my coin back?
Or it is stored on device?
How can they be stored on device?
Do you had to login like this?

Maybe you should check
this articleYou can probably try to download many well trusted bitcoin wallet softwares and try your account credentials on each of them. I don't think there is other hope.