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You need to use another computer and get a program off the web you can boot the computer with that can un-delete the partition(s). If you have no floppy drive, that will have to be a bootable CD.
Search for something such as: free un-delete partition bootable
What did you use to delete the partition(s) and "re-format" them?
XP doesn't re-format as a separate step - you delete a partition, one at a time, then it partitions the drive using FAT32 or NTFS partitioning and formats the partition in one step.
What did you use to re-load XP?
If you booted using a regular XP CD, it won't delete more than one partition at a time. In order to delete more than one, you must select the other partitions one by one yourself.
If you booted using the IBM Recovery or Restore disk or the first CD in a set of Recovery or Restore disks, for your model, depending on which type of Recovery or Restore procedure you select, the entire contents of the drive can be deleted
Apparently your model is an older desktop computer.
"IBM Personal Computer 300GL [M/N-6563-V1A]
Pentium-III 550MHz, 512KB Cache, AGP Card
128MB SDRAM PC100, 10GB IDE HDD, CD-ROM, 1.44MB FDD, 10/100 NIC, IBM G42 14” Color Monitor, IBM 104 Keyboard, IBM Logitech PS/2 Mouse"
Do you have more than one hard drive installed?
If you do, which drives had logical drives C, D, and E on them?
If you have only one drive, did you have XP Setup use the entire free space for it's partition?
If so, you may not be able to recover much of the data that was on D and E because it was over-written by the new installation of XP, and/or it was over-written by the new XP installtion's Windows swap file using folder and file locations formerly used by folders and files on D and E.