Definition of "hopingly"

One sign of despair is the peremptory contempt of the condition which is the ground of hope; the going on not only in terrours and amazement of conscience, but also boldly, hopingly, and confidently in wilful habits of sin.

1644, Henry Hammond, Practical Catechism

[…] we deplore the existence of the system in our country, and look forward hopingly to the day when it shall cease from the land, as a day of jubilee and thanksgiving to all America.

1832, Caleb Cushing, An Oration