Does coffee-mate contain frucose

No, it does not, it does contain Glucose syrup though. Here are the ingredients of Original Coffee Mate:

GLUCOSE SYRUP, HYDROGENATED VEGETABLE OIL (MAY CONTAIN COCONUT, PALM KERNEL AND/OR SOYBEAN OIL), SODIUM CASEINATE (A MILK DERIVATIVE), DIPOSTASSIUM PHOSPHATE, SODIUM ALUMINUM SILICATE, MONOGLYCERIDES, ACETYLATED TARTARIC ACID ESTERS OF MONO- AND DYGLYCERIDES, ARTIFICIAL FLAVOUR, COLOUR