Unfortunately, the question as it stands cannot be answered. There are many, many congregations known as the "Sisters of Charity" and they are not all related to one another. To answer we would need to know which congregation is of interest.
Vincentian Sisters of Charity was created in 1902.
Sisters of Charity of Cincinnati was created in 1829.
Sisters of Divine Charity was created in 1799.
Religious Sisters of Charity was created in 1815.
Sisters of Christian Charity was created in 1849.
Sisters of Charity of Leavenworth was created in 1858.
Mother Teresa of Calcutta founded the Sisters of Charity.
The common name given to the Sisters of Charity is the "Grey Nuns."
Sisters of Charity Hospital - Zagreb - was created in 1894.
Sisters of Our Lady of Charity of the Refuge was created in 1641.
Sisters of Charity of Seton Hill was created in 1869.
Franciscan Sisters of Christian Charity was created in 1869.