I regularly get emails from various Beardsworths looking for their roots, though so far no-one I'm closely related to. I can only really say that to the best of my knowledge the surname is strongly associated with Lancashire. That's shown by this fascinating UCL online British surname profiler (warning the site is overloaded, not just with Beardsworths).

Apparently we Beardsworths are down from 20 in a million to 14 in a million, ethnically are 98.5% English or Unknown, have infiltrated the South (some have even penetrated the Bush administration), but we're still firmly Northerners whose heartland has moved from Preston to Blackburn, just 10 miles in a century.