This looks like them in Mansfield, Notts at 5 Commercial street in 1901:
Frederic W Beck 42 Head Runcorn, Cheshire, Licensed Victualler Annie E Beck 37 Wife Derby, ~ Reginald A Beck 11 Son Derby, ~
Haven't found them in 1891 I'm afraid.
Hope that helps, John
Logged
Kirkland in Derbyshire and Leeds; Francis, Elson, Coxon, Tempest, Wheeldon and Barker in Derbyshire; Cawood/Coward, Richmond, Brier/Brear, (H)Akins, Winterbottom, Nicholson, Mellor, Noble, Atkinson, Moor(e), Sloan(e), Tyson, Amos and Cooper in Yorkshire; Goddard/Godarth in Devon, 17th Regiment and Yorkshire; Hodgkinson and Shrimpton in Bucks; Clewley in Oxfordshire.