The compatibility between the processors and the laptop systems is determined by the laptop manufacturer, so in this case only the laptop manufacturer can tell you what processors will work on their laptops.
Please contact them so they can assist you.
Will not work FSB is different.
The laptop has Intel PM965 Express Chipset, and it doesn't support 1066 MHz FSB. You should be able to upgrade to T8xxx / T9xxx processors with 800 MHz FSB, though. The performance improvement will noticable, compared to your 1.5 GHz T5250.