According to the HP specs for your model the operating system offered with that. There are no legal online downloads to re-install Windows 7. And ask them if they can send you a set of recovery discs for your model.
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The compaq support page for that model doesn't show any recovery/restore disks but if you google SR1563CL 'recovery disk' you'll get a few hits. There's one site that comes up under several different names that appears to be a BS site as it lists windows 7 and 8 disks for that model. This one might be legitimate: It's number 819 toward the bottom or do a search for SR1563CL. Looks like it costs $27 and they mail you the disks. You can also install XP using a regular xp installation disk and then download the necessary drivers from the support page for that model. If you have the windows XP key (usually on a sticker on the case somewhere) and can check what it is.
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and note if it says OEM as part of the characters given. If so then you can download an ISO for an OEM, burn it to to cd/dvd (XP will usually fit on a cd) and then use 'your' OEM key to install it. If you go for the ISO get the version that has sp-3 included.
If (and unlikely in this case) the installation is a retail version then you download a retail version of the ISO; burn to a cd/dvd and boot up with that - using 'your' key for the installation. If 'your' key doesn't have OEM included within it, then it's a fair be that yoi=u have a retail installation; but that is highly unlikely. Again go for the sp-3 version. The ISO can be download - for free - at the site posted by riider (#9) in this CN post: What I'm not sure about is whether or not the versions of XP offered there are retail or OEM. Usually you cannot use an OEM key with a retail disk and visa versa.
But first have a browse at these two (hp) links; the second discusses which key to press for a recovery partition approach i depends on which OS version etc.you may have.; and also ordering the disk set. The first (and top of the list) may be of general interest too; and includes the actual hp link to the second site I've posted below.