The new GRO Index Search facility shows Mother's maiden names for nearly all births from 1837.
www.gro.gov.uk/gro/content/certificates/You have to register, but it's free to use.
Anyway:
MCFALL, HANNAH PEARSON ANDERSON
GRO Reference: 1868 S Quarter in COCKERMOUTH Volume 10B Page 503
MCFALL, MARY ANN HENDERSON
GRO Reference: 1871 J Quarter in COCKERMOUTH Volume 10B Page 525
MCFALL, ROBERT JAMES ANDERSON
GRO Reference: 1873 D Quarter in COCKERMOUTH Volume 10B Page 519
MCFALL, ANNA ELIZABETH HENDERSON
GRO Reference: 1877 J Quarter in COCKERMOUTH Volume 10B Page 583
MCFALL, JOHN EDWARD MALCOLM HENDERSON
GRO Reference: 1879 D Quarter in COCKERMOUTH Volume 10B Page 514
So, Jemima's maiden name was either Anderson or Henderson.