If you have a 3rd drive used for storage and backup purposes with enough free drive space available one option would be the Windows Easy Transfer Tool for creating a backup of all user files and settings. Once the backup is made while booted into the original 7 install you would see it restored to the SSD copy of 7 there.
That sees not only the various folders and files restored but will also restore various settings once you have the same programs installed again like anything for Windows customizations. Here with the dual monitors and having a different wallpaper for each display once the UltraMon program was installed on the new 7 install the same profile would be applied.
W7 Ultimate x64/W10 Pro x64/W11 Pro Triple Boot - Main PC W7 Remote PC Micro ATX W7 Pro x64/W11 Pro
CPU
AMD Phenom II X4 975 Deneb 3.6ghz - 965 2nd remote pc
Motherboard
Gigabyte GA-790XTA-UD4-Gigabyte GA-880GM-D2H remote pc
Memory
Kingston Hyper X DDR3 1600 1.5v 16gb - Hyper X Fury 8gb 2nd
Graphics Card(s)
MSI HD Radeon 5750 1gb - MSI HD Radeon 6450 on mini tower
Sound Card
Creative Labs X-Fi Xtreme Audio P - Realtek onooard 2nd case
Monitor(s) Displays
ASUS VW199T-P 19" HP 2082a Main-HP 2082a 20" remote pc
Screen Resolution
Asus 1440x900 - HP 1600x900
Hard Drives
WD Black 1TB HD per OS W7, W10, and pending W11 presently on 500gb OS Drive - Pending Triple 1TB HDs for Spanned Storage/backup volume
Single 2TB external USB enclosure, single 1TB System 7 Host/Boot drive, Pending 8TB external HD for system image b
PSU
Corsair 750TX - primary / Corsair CX600 - second
Case
Antec 900-2 - SSD compatible / NZXT Vulcan mini tower
The only way to correctly uninstall an OS is to delete it's partition or wipe the HD. If you have User folders you've already linked to the libraries on the new install using Library - Include a Folder - Windows 7 Forums
then I would move them off the drive and wipe it with Diskpart Clean Command then move them back and relink them which is quick and easy.
In rare cases if forced to delete the Windows folder then use Unlocker to get it all out. But this leaves the HD bootsecting which can be problems later. Best to delete the old OS partition or wipe the HD.
Another thing to ask would be if you had the first OS drive plugged in while installing 7 on the new SSD? If you did you likely may have seen a second boot entry for 7 added into the SSD's BCD store once the original 7 install was detected.
That second entry would need to be removed if found. Just be careful not to removed the wrong namely the present default boot entry. The boot tab in the msconfig utility will show if two are present.
W7 Ultimate x64/W10 Pro x64/W11 Pro Triple Boot - Main PC W7 Remote PC Micro ATX W7 Pro x64/W11 Pro
CPU
AMD Phenom II X4 975 Deneb 3.6ghz - 965 2nd remote pc
Motherboard
Gigabyte GA-790XTA-UD4-Gigabyte GA-880GM-D2H remote pc
Memory
Kingston Hyper X DDR3 1600 1.5v 16gb - Hyper X Fury 8gb 2nd
Graphics Card(s)
MSI HD Radeon 5750 1gb - MSI HD Radeon 6450 on mini tower
Sound Card
Creative Labs X-Fi Xtreme Audio P - Realtek onooard 2nd case
Monitor(s) Displays
ASUS VW199T-P 19" HP 2082a Main-HP 2082a 20" remote pc
Screen Resolution
Asus 1440x900 - HP 1600x900
Hard Drives
WD Black 1TB HD per OS W7, W10, and pending W11 presently on 500gb OS Drive - Pending Triple 1TB HDs for Spanned Storage/backup volume
Single 2TB external USB enclosure, single 1TB System 7 Host/Boot drive, Pending 8TB external HD for system image b
PSU
Corsair 750TX - primary / Corsair CX600 - second
Case
Antec 900-2 - SSD compatible / NZXT Vulcan mini tower