Share/Synch settings between widget and admin menu

Hello,

I am developing a plugin that includes a sidebar widget as well as a shortcode to be used on a page for a more detailed summary of information. For the user’s convenience, I would like them to be able to customize some fields of information specifically relevant to the widget upon dragging the widget into their sidebar — but to also make changes and additions to that information on the page I create within the Settings menu. Both items are working independently and appear to save their options, but I can’t seem to get the “guild_level” or “perks_page” options to synchronize between the two of them. In fact, when I try to force both to use the same wp_option entry, the settings from the widget appear to be appended onto the settings for the admin page — with the same names. Here’s an example of what I mean:

'a:4:{i:2;a:5:{s:7:"version";s:5:"1.0.0";s:12:"widget_title";s:19:"Current Guild Level";s:11:"guild_level";s:1:"1";s:10:"perks_page";s:0:"";s:13:"show_inactive";s:3:"yes";}s:12:"_multiwidget";i:1;s:11:"guild_level";s:1:"1";s:10:"perks_page";s:0:"";}'

You will see above two instances of the perks_page and guild_level option. Is there any way to get these two different sets of settings to cooperate and synchronize?