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Webster 1913 Edition

Noun.

Carefulness; painstaking.

[Obs.]

My father’s care
With

curiousness

and cost did train me up.

Massinger.

The state of being curious; exactness of workmanship; ingenuity of contrivance.

Inquisitiveness; curiosity.

Noun.

Fitness to excite curiosity; exactness of workmanship.

Singularity of contrivance.

Curiosity.

curiousness ‎(usually uncountable, plural curiousnesses)

inquisitiveness; curiosity
(obsolete) care; carefulness; pains
- Massinger
  My father's care / With curiousness and cost did train me up.
(dated) The state of being curious; exactness of workmanship; ingenuity of contrivance.
(countable) The result or product of being curious.