After her son’s death, the old lady sit at the window, deep in thought．
A. would
B. should
C. could
D. might
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(答案→)A. would
B. should
C. could
D. might
解析：考查情态动词。Would 会，过去常常，should 应该，could 能，might 可能，句意：她的儿子去世之后，这位老妇人常常坐在窗户旁边，陷入沉思。Would do 过去常常做某事，所以选A。