The gill is a unit of volume in the imperial unit system and uses the symbol gi.
It represents 1/4 of a pint - so in this instance, it is 1/4 of an imperial pint - therefore measures exactly 142.0653125 ml. It's also equal to 2 imperial cups and 1/32 of an imperial gallon.
It is pronounced with a "J" sound at the beginning - and it actually part of a humorous in the nursery rhyme 'Jack & Jill'.
In the UK it was used throughout pubs as standard measures; for example spirits were served as 1/6 gill as standard. In Scotland it was 1/5 gill and in Ireland 1/4 gill. It's still used in the Republic of Ireland today.
The teaspoon is a unit of volume in the US customary system and uses the symbol Tsp.
In the kitchen, the teaspoon is the smaller of the commonly used spoons served at the table and represents 1/6 US fluid ounce, 1/48 US cup or, expressed in SI / metric format; 4.92892159375 ml.
A teaspoon is generally considered a cooking measure but is also used in the administration of medicine when in solution form; 5 ml or multiples thereof is the standard amount of liquid medicine across the world.