Sharing photos with others to include the titles and sorting order

1. You can export the images using their titles as filenames. It's an option in the export dialogue at File -> Export
2. You don't really have any way to force the sorting, as that's always a matter for the other person's machine. One way around this is to use a number as part of the title.

Which system version do you have installed?

On macOS 11 Big Sur the description will be shared, when you share a photo in a shared album, all the filename, but not the title.

On earlier systems you can share some information with the photos in a shared album, if you share each photo individually, not all at once, exactly in the order you want to share the photos, and then add a comment to a photo, when you share it.

The comments will be displayed on the webpage with the shared photos. But you have to add the comments, immediately, when you share the photos. adding comments later may change the sort order of the photos on the webpage of the shared album.

Export to a folder on the desktop.

From there, how you share is kind of up to you. Have you checked out photo sharing sites like Flickr - in the case of Flickr they have excellent access controls so you can define who may see or not see the images. And then you can arrange them into albums and so on and in that way preserve your sorting.

You can put them in a folder, zip/compress the folder and email the zipped file to those you want to have them. If the size of the zipped file becomes too large for emailing you'll be given the option to use Mail Drop: Mail Drop limits.

That puts the file on an Apple server for 30 days and will include a link to download the compressed file by the recipients.