This cheerful dark blue transferware pattern is known as "Eskimo Child", or 'Eggs in a Basket'. Both pieces are fully marked 'H & S' in underglaze blue, for Hilditch & Son of Lane End, Staffordshire. The set dates 1823-1830.
The cup height is 2-1/8", the saucer's diameter is 5-3/4". Both are in excellent condition. There are no cracks, no chips, and no repairs. Both pieces ring when tapped.
The pattern is shown on page 129 of Howard Davis' book, "Chinoiserie".