Moggerhanger has one genuine landmark that most of the surrounding villages don't — and it's worth building some search visibility around, even if you've got nothing to do with it directly.
Moggerhanger Park, the restored Georgian house just outside the village, has been through a proper renovation over the years and now hosts events, weddings and tours that bring people into the area who'd otherwise have no reason to pass through. That's a genuinely different kind of visitor to the usual local search: someone planning ahead, searching "near Moggerhanger Park" days or weeks before they arrive rather than on the spot.
If any part of your business could plausibly serve someone attending an event there — accommodation, catering, flowers, photography, transport — it's worth explicitly mentioning Moggerhanger Park on your website, since that's a real, specific search term with genuine intent behind it, not just village-name padding.
For everything else, the usual advice holds: Moggerhanger itself is small enough that most search volume nearby actually happens under Sandy or Biggleswade, so your Google Business Profile's service area should reflect that rather than assuming people search for the village by name.