When you update the 1.0 version, you’ll get a new plugin with the 1.1.01 version. The 1.0 version will still exist, still requesting an update. Deleting that 1.0 version from within WP is not such a good idea as both plugins will then be removed.
As I don’t like having appearant pending updates in my plugin list, I decided to disable the 1.0 plugin and to remove it from the plugin list. This doesn’t seem to break anything. To do this, just load pluginchief-mobile-site-builder.php and modify the top three lines slightly, from:
Plugin Name: Plugin Chief Mobile Site Builder
OLDPlugin Name: Plugin Chief Mobile Site Builder