First, how is your SSD drive formatted? To avoid damaging the Photos Library an external drive must be formatted in either APFS format or Mac OS Extended (Journaled) format. Additionally, the drive can not have had Time Machine on it since it was formatted. There have been so many problems with using incompatible drives that the newest macOSs won't even allow a Library on a non-Mac formatted drive to open, since there is a chance of damaging the Photos database. See this:
Move your Photos library to save space on your Mac - Apple Support
Photos uses a database, sort of like an Excel Spreadsheet, with columns of information about rows of pictures. Each new version has more information and more columns, so one version can't understand the database in another. When a Photos database is loaded into a newer OS, the database is converted, with the new columns put in and new scans done to fill those columns. So there can never be "going back." The only way to access different versions of Photos Libraries is through iCloud Photos, where there's enough room and power to handle multiple databases.
It's not clear to me what you're trying to do-- Are you trying to open a Monterey Photos Library with a newer OS, or are you trying to open an older Library in Monterey? Opening an older Library should work, unless it's maybe way too old. Do you have the Mac on which the original Photos Library was created?
Let us know about the OSs and the format of your drive…