Try a google search, either name+plant or plant+name.

Very good question and at first blush it seems quite difficult to answer unless someone just happens to know the URL of a list or data base.

You may go to google advanced search and search for Hortiplex and each personal name e.g. +hortiplex +clarie and then sort through the 48 or so hits for plant names.

Perhaps some really keen person can devise a better search on some data base such as hortiplex which would sort out the plants with people names from the people with plant names like Claire Englander.

If someone has not already done it there is an opportunity here.

It's not exactly a botanical (i.e. scientific) question, more horticultural.

People's names like 'Claire' etc are always CULTIVAR names, bestowed by plant breeders or marketers on newly developed varieties. Botanical names, by contrast, are usually of Latin or Greek origin or, if named for a person, the name is normally given a Latin termination, e.g. claireae.

The vast majority of cultivar names are found in the relatively few plant groups that have been extensively hybridised, among the largest being roses, camellias, rhododendrons, azaleas, chrysanthemums, dahlias, geraniums, tulips, daffodils, daylilies and a few others.

So one way to search might be to join the name , e.g. Claire, to the name of a group/genus, e.g. rose or Rosa, and work your way through the groups I have mentioned.

Two further points:

You are likely to find most hits are where the name has a surname or other words accompanying, e.g. 'Claire Wagner' or 'Claire's Surprise'

In roses, camellias and many other groups, the vast majority of cultivar names recorded are of cultivars that are now extinct, or at least no longer available commercially. So if your wish is to have the plant to grow, you may find it impossible to obtain.