I hope this correspondence finds you and your family doing well.
( ( ( ( I ( hope ( ( this correspondence ) ( finds you ) ) ) ) and ) ( ( your family ) ( doing well ) ) ) . )
(ROOT (S (S (NP (PRP I)) (VP (VBP hope) (SBAR (S (NP (DT this) (NN correspondence)) (VP (VBZ finds) (NP (PRP you))))))) (CC and) (S (NP (PRP$ your) (NN family)) (VP (VBG doing) (ADVP (RB well)))) (. .)))
Last I wrote the family was in a bit of a downward spiral. 
( ( Last I ) ( ( wrote ( ( the family ) ( was ( in ( ( a bit ) ( of ( a ( downward spiral ) ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (JJ Last) (NN I)) (VP (VBD wrote) (SBAR (S (NP (DT the) (NN family)) (VP (VBD was) (PP (IN in) (NP (NP (DT a) (NN bit)) (PP (IN of) (NP (DT a) (JJ downward) (NN spiral))))))))) (. .)))