An egg spoon is a specialised spoon

Spoon

A spoon is a utensil consisting of a small shallow bowl, oval or round, at the end of a handle. A type of cutlery , especially as part of a place setting, it is used primarily for serving. Spoons are also used in food preparation to measure, mix, stir and toss ingredients...

 for use in eating boiled eggs. In comparison to a teaspoon

Teaspoon

A teaspoon, an item of cutlery, is a small spoon, commonly part of a silverware place setting, suitable for stirring and sipping the contents of a cup of tea or coffee...

it typically has a shorter handle and bowl, a more pointed tip and often a more rounded bowl. These characteristics are intended to facilitate the removal of an egg's contents from the shell, through a small hole in one end. For this purpose the egg spoon is easier to use than a normal teaspoon.

External sources

• Antique Silver Spoons and Canteens - Information, Advice and Sales.