These would be marketing (selling) names used for annuals and other "cute" plants that appeal to a certain sensibility. Look at catalogs and other listings of annual and vegetable seeds and plants.

One such catalog (available on-line) is Plant's Delight. You can quickly roam over the listings, keeping your eye out for those 'cutesy' names. Park Seed is another one with a substantial seed listing.

I doubt very much that there is one database for the kinds of plants you are looking for.

(How about 'Chocolate Chip' Baptisia or 'Gotta Pea' Amicia?)

I've heard of childrens gardens that are planted with everything having an animal name... leopard's bane...