I looked up Brian Lawson's birth index, and the mother's surname was HARVEY:
CLARKE, Winifred, [born] 7 Mar 1899 Braddan, [vol]C, [page]183, [father] CLARKE, James, [mother] HARVEY, Rhoda.

AND:
CLARK, Bessie 1904 Braddan C1 227 CLARKE, James HARVEY, Rhoda [I was hoping she was registered as Elizabeth. - Although she might have decided when she was older that it was a pet name. I had an ancestor bapt as Peggy who decided she was Margaret when she got married.]

CLARKE, William Henry 1905 Braddan C 239 CLARKE, James HARVEY, Rhoda
CLARKE, Alfred 1907 Braddan D 251 CLARKE, James HARVEY, Rhoda
CLARKE, Cecil 19 Mar 1900 Braddan C 193 CLARKE, James HARVEY, Rhoda

There are other children, at:
www.iomfhs.im/lawsons/LawsonBMD/births/clarke.html?Submit=Clark%28e%29

Sue