In a mixing bowl, combine the beef, Worcestershire sauce, bread crumbs, egg, salt and pepper.
Stir mixture together to combine.
Shape into 4 equal sized patties.
Heat a skillet over medium heat.
Cover bottom with vegetable oil..
Place meat patties in skillet and brown on both sides for about 5 minutes each.
Remove from skillet and set aside.
Pour off fat.
Add butter to skillet and melt.
Sprinkle flour into melted butter.
Stir and scrape bottom of pan to remove brown bits.
Let cook and brown for about 2 minutes.
Add stock stirring well.
Bring to a boil.
Place the meat patties and any juices back into the skillet.
Cover and reduce heat.
Simmer for 15 minutes.
Remove from heat and serve warm.