I would check the CPU carefully. According to Intel's website 1.1G celerons were all tualatin. If you check on Intel's website it shows you how to indentify FC PGA (coppermine) and FC PGA2 (tualatin).
The motherboard you show only claims support up to 766 Meg. That, to me, means PPGA. I'm sorry about this but there were 3 versions of socket 370: PPGA, FC PGA, and FC PGA 2. The problem is that later processor do not work in earlier motherboards.
I found this site which may be useful:
http://www.elhvb.com/mboards/OEM/HP/
The site has a download for an updated BIOS that supports coppermine CPUs. Your motherboard may work with the coppermine CPUs, but I think it will depend on the version of the motherboard.
To be honest if these are just spares the quickest way to find out would be to put the CPU in the motherboard, add some memory, power it up and see if it POSTs. If it does, and identifies the CPU OK then all is well. If it does not POST and the test is done quickly I do not think CPU or motherboard will have come to any harm. It would be better to flash the new BIOS before trying the new CPU if possible. If the CPU is realy a tualatin then do not try this. I'm not sure but it may damage the CPU and/or motherboard.
If you use the HP board overclocking will not be easily possible. I have a simliar HP/ASUS board, and flashed the ASUS BIOS on it. The ASUS BIOS did not have any overclocking features in though so was no help. If you do flash the ASUS BIOS as far as I know you cannot then flash a HP BIOS.
Rob. Murphy