You have your parent's names - look for their marriage certificate which will give you the names of their fathers.

Meanwhile:
1901, Onchan, district 4, schedule 203, 47 Hildersley Road
Samuel Lamberton, head, married, 31, grocer's shopkeeper, Scotland
Amelia J, wife, married, 26, Douglas
Christian J, daughter, 5, Scotland
Mary A, daughter, 4, Scotland
Samuel A, son, 9 months, Douglas
Ethel L, daughter, 16, Douglas.

Last one looks a bit strange but that is how it is.

See my web site www.lawsons.ca for the marriage of SDamuel and Amelia Jane Shimmin.

If Ethel is a daughter it must be from a previous marriage.