Welcome to the forum!
Sorry to hear about your difficulties... but a (albeit small) light in the dark is this forum; if there is anything you can do yourself, you will find help here.
First: Please be kind to report a bit more in detail what you did; e.g. updated the BIOS from within Windows, or using a bootable CD? If updating the BIOS from within Windows, the T60 would (if everything goes normal) first prepare the update, then do a reboot and then do the actual BIOS update. Afterwards - when the BIOS have been updated - the T60 would boot normal into Windows. How far did this go in your case?
Next: Please provide the precise beep codes... just saying that it made "some beeps" is unfortunately too imprecise (!). Reason for asking about the beep codes is that the beep-pattern will give you an indication of what's wrong as per
Beep and no beep symptoms - ThinkPad General.
Third: If you are a bit technical, you could try download and burn (on another PC, obviously!) the bootable CD "Hiren's Boot-CD" (and boot into the miniXP environment) and try if your T60 will boot from this CD? A link to how-to download and burn this CD is found in the thread
My HDD just died T42... see
this post.
In the worst case (but we have not yet determined that we
ARE at that point!), your motherboard will have to be replaced. If you are just a little bit technical you can do this on your own (with help from this forum!), or you can have someone friendly forum-member assist you; in the UK I'd highly suggest that you contact member
poshgeordie who is running the small company
Reflow Repairs - Laptop Repairs, Reballing, Graphics Repair, GPU Repairs. Nick is located in Newcastle upon Tyne.
An used but OK condition (standard) T60 motherboard can typically be found on eBay.de (and probably also on eBay.co.uk) for around €35 - €40.
Finally: Please provide us with the model/type number of your T60; it is printed on a label at the bottom... a four-digit number followed bu a three-character letter/character code (e.g. 2007-QPG). With this information, we may be able to help you with precise information about what motherboard your T60 has now, and what replacement motherboards may substitute this.
Johan