Delete home button

delete a home button through any widget or plugin?

unlikely –

please give some information:

what theme are you using?

link to your site?

Do not edit the Twenty Eleven theme. It is the default WordPress 3.2 theme and having access to an unedited version of the theme is vital when dealing with a range of site issues.

For this reason, it is recommended that you consider creating a child theme for your customisations. Once your child theme is active, we should be able to help with the customisation.

—
after you have done the above,

add something like this to functions.php of your child theme:

add_action( 'after_setup_theme', 'twentyeleven_child_theme_setup' );

function twentyeleven_child_theme_setup() {
remove_filter( 'excerpt_length', 'twentyeleven_excerpt_length' );
add_filter( 'wp_page_menu_args', 'twentyelevenchild_page_menu_args' );
}

/**
 * Get our wp_nav_menu() fallback, wp_page_menu(), to show a home link.
 */
function twentyelevenchild_page_menu_args( $args ) {
	$args['show_home'] = 'Start';
	return $args;
}

this $args['show_home'] = 'Start'; changes the ‘Home’ button to ‘Start’;
this $args['show_home'] = false; would remove it.