the GNU version of the Collaborative International Dictionary of English
n. The quality of being worthy or qualified to be chosen; suitableness; desirableness.
The Century Dictionary and Cyclopedia
n. The state of being eligible; fitness to be chosen in preference to another; suitableness; desirableness.
Word Usage
"To decide upon the eligibleness of the run, they had appointed to meet the vendor at his station, and to proceed together to the ground, inspect it, and form their own opinion of its capabilities."