Thompson looks like the right mother's name to me here are the baptisms I can find and can't find:-

Wm Waterson
Event Type Christening
Event Date 24 Jan 1813
Event Place Malew, Isle of Man
Gender Male
Father's Name Wm Waterson
Mother's Name Ann Thompson
Link familysearch.org/ark:/61903/1:1:X89L-55S

Margt Waterson
Event Type Christening
Event Date 19 Feb 1815
Event Place Malew, Isle of Man
Gender Female
Father's Name Wm Waterson
Mother's Name Ann Thompson
Link familysearch.org/ark:/61903/1:1:X89L-B8F

Richd Watterson
Event Type Christening
Event Date 30 Nov 1816
Event Place Malew, Isle of Man
Gender Male
Father's Name Richard Watterson
Mother's Name Ann Thompson
Link familysearch.org/ark:/61903/1:1:X89G-HL6

Ann Waterson?

John Waterson?

Cath Watterson
Event Type Christening
Event Date 02 Jun 1825
Event Place Malew, Isle of Man
Gender Female
Father's Name Wm Watterson
Mother's Name Ann Thompson
Link familysearch.org/ark:/61903/1:1:X89P-3T5

Thompson Watterson
Event Type Christening
Event Date 26 Jan 1829
Event Place Malew, Isle of Man
Gender Male
Father's Name Wm Watterson
Mother's Name Ann Thompson
Link familysearch.org/ark:/61903/1:1:X89P-SSQ

Rebecca Waterson
Event Type Christening Event
Date 12 Feb 1832
Event Place St Mary's, Castletown, Isle of Man
Gender Female
Father's Name William Waterson
Mother's Name Anne
Link familysearch.org/ark:/61903/1:1:X8MJ-JY3

Jane Eleanor Waterson
Event Type Christening
Event Date 12 Jan 1835
Event Place St Mary's, Castletown, Isle of Man
Gender Female
Father's Name William Waterson
Mother's Name Anne
Link familysearch.org/ark:/61903/1:1:X8MJ-PQT

Mary Waterson?