I have now worked right through it - I think! Using FreeBMD to get the surname spellings and the GRO index to check the mother's maiden name. 14 births with 2 infant deaths. Not all quite in the order you had. Spellings in Northants were all BAWD or BAND except one. Spellings in Rotherham were all BAUD - except one.
From FreeBMD the marriage is:
BAWD, Price and JEFFS, Ann, BUCKINGHAM vol 3a page 673 SepQ 1861
From the GRO index 14 births & 2 deaths:
BAND, BENJAMIN THOMAS JEFFS
GRO Reference: 1862 S Quarter in TOWCESTER Volume 03B Page 13
BAND, PAMELA JEFFS
GRO Reference: 1864 S Quarter in TOWCESTER Volume 03B Page 14
BAUD, MARY ANN JEFFS
GRO Reference: 1866 D Quarter in TOWCESTER Volume 03B Page 16
BAWD, PRYCE JEFFS
GRO Reference: 1868 S Quarter in TOWCESTER Volume 03B Page 18
BAWD, EMILY JEFFS
GRO Reference: 1870 S Quarter in TOWCESTER Volume 03B Page 17
BAWD, ANDREW JEFFS
GRO Reference: 1872 M Quarter in TOWCESTER Volume 03B Page 11
BAUD, FRED JEFFS
GRO Reference: 1874 M Quarter in ROTHERHAM Volume 09C Page 590
BAUD, FREDERICK age at death: 1
GRO Reference: 1875 M Quarter in ROTHERHAM Volume 09C Page 407
BAUD, CLARA JEFFS
GRO Reference: 1875 M Quarter in ROTHERHAM Volume 09C Page 597
BAUD, FREDERICK JAMES JEFFS
GRO Reference: 1876 J Quarter in ROTHERHAM Volume 09C Page 635
BAUD, JOHN JEFFS
GRO Reference: 1877 S Quarter in ROTHERHAM Volume 09C Page 604
BAUD, JOHN age at death: 1
GRO Reference: 1878 D Quarter in ROTHERHAM Volume 09C Page 412
BAUD, PAMELA JEFFS
GRO Reference: 1878 D Quarter in ROTHERHAM Volume 09C Page 625
BAUD, JAMES JEFFS
GRO Reference: 1880 S Quarter in ROTHERHAM Volume 09C Page 602
BAUD, ROSE JEFFS
GRO Reference: 1881 S Quarter in ROTHERHAM Volume 09C Page 587
BAND, ERNEST JEFFS
GRO Reference: 1884 M Quarter in ROTHERHAM Volume 09C Page 612