Firefox runs like greased lightning on my 10.6.8 machine, I suspect you have other problems or FF needs a update.
First uninstall all FF add-ons, then FF, then FF and your add-ons, also check your plug-ins
https://www.mozilla.org/en-US/plugincheck/
If that doesn't work, you might have gotten a bad upgrade, make sure you Software Update fully under the Apple menu.
Next run through all these fix it steps
Step by Step to fix your Mac
If that doesn't fix things, backup your personal data
Most commonly used backup methods
Then erase and install 10.6, it will perform faster (fresh installs do that)
How to erase and install Snow Leopard 10.6
10.6 is faster than 10.5 because of updated video drivers, 10.7 is slower (especially on a 10.5 issued era machine) so it's best to wait for a new machine or when 10.8 is released to run those versionson new hardware.
And once you have your Mac all cleaned up, you can enable the broadband "10x faster" tweaks for Firefox that will make it substancially faster than Safari, provided you have a fast broadband connection, Google is your friend. 😉
My FF web pages load complete in a second or two on 25 mb/s down. Snap!
Also add Ad Block Plus, FF is at 13.01, use the About Firefox and apply the update.
I also should advise about security
Harden your Mac against malware attacks