Centrino processors are Pentium-M mobile CPU's with wireless technology integrated. Pentium-M's have been around for a couple years now, and should not be confused with the Pentium 4M which existed before.
Pentium-M's are much, much faster per MHz than any P4 desktop, and especially any laptop that uses the outdated P4M. Not only is it faster, but it is extremely efficient for longer battery life. Also, the celerons come in many breeds, and depending on the generation of the one you have, could be no match for even the slowest Pentium-M out there.
To give you an idea of performance, the 1.73GHz Pentium-M you were looking at will outperform a 2.6GHz desktop P4 in most benchmarks and be on par with 2.8Ghz. If you have an older celeron (older than 2 years), then chances are that it was based off the P4M and comes nowhere near the performance of your relative's laptop.
~cdogg
"Insanity: doing the same thing over and over again and expecting different results." - Albert Einstein
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