pools at quadrille
Quadrille, according to David Parlett was a wildly popular card game of the period. "A notable characteristic of Quadrille is that it was always more popular with women than with men." The pool is the main stake of each round, like the collected bets in poker.
portion
Inheritance passed down to a child (Johnson).
“that it is usual with young ladies to reject the addresses of the man whom they secretly mean to accept, when he first applies for their favour; and that sometimes the refusal is repeated a second or even a third time.
May be referring to the novel Pamela by Samuel Richardson, which was popular at the time and featured a woman who refuses her suitor multiple times before realizing she is in love and marrying him.
diversion
“Sport; something that unbends the mind” (Johnson).
delicacy
"Politeness of character, Tenderness, Softness; feminine beauty" (Johnson).