TSH
TSH is the hormone the pituitary gland uses to drive the thyroid. It is often the first test asked for, on a gold-cap tube, with no fasting.
FT4 and the others
Depending on the TSH and the prescription, the laboratory measures FT4 (the unbound thyroxine), sometimes FT3 or antibodies. When one of the laboratory's rules adds FT4 after a TSH outside the range, the report says so.
Medicines
If you take thyroid treatment, ask your doctor whether the sample should be taken before your morning dose, and note the time of your last dose.