I have my mom's old Dell Inspiron 2650 model PP04L. She is passed away now but I'd like to salvage some of the old pictures and things she had on there. Is there a way to buy an enclosure and mount this with a USB connection so I can open it on my new computer?
A laptop of the vintage you mention will most likely have a 2.5-inch IDE, PATA (Parallel ATA), hard disk drive. Of course, you will need to disassemble the laptop and remove the drive to confirm. Once removed, you can obtain a low-cost enclosure, such as this one from amazon, to connect the drive via USB 2.0 to a more modern computer. Most likely, the FAT partitions on the drive will be recognizable to your modern OS.
My condolences. You can hook up that (assumed) ATA harddisk using an appropriate USB adapter (you'll need the 44-pin type for 2.5" drives, thx Brian) - many electronic shops still stock ATA/SATA-to-USB adapters.