Another thing you could do is position the eyelashes in the right place and put their pivots at the center of the eye...then use the eyelid open/close to drive the rotation of the eyelash, so if the eyes blink, the lashes follow...
Of course, if you are trying to make a very realistic character, you should only use blendshapes in certain places since blending only causes CVs to move from one position to the next in a completely straight line...that is not realistic. That's why many people use weighted clusters for eyelids, as you can get it to act very similarily to a real eye as it rotates open in a curved motion. Even this isn't completely realistic either, since the real eyeball is not perfectly spherical - even without the cornea bulge at the front...it's more squashed...but after all, it's usually more art than science.
"God saves those who save often..." - me.