nobdepot:
Yes, you can apply to immigrate as a gay couple as long as
1) your partner qualifies to immigrate (skilled worker?), and
2) you meet the definition of common-law partners.
Here's the self-assessment test for skilled workers:
http://www.cic.gc.ca/english/immigrate/skilled/assess/index.aspHere's the definition of common-law partners:
http://www.cic.gc.ca/english/immigrate/sponsor/spouse-apply-who.asp#common_lawAs to where you must apply, PMM is right that if you were admitted to the U.S. for at least a 1 year period (i.e., not on a tourist visa), then you can apply from the U.S. through the Buffalo, NY office. It doesn't matter that you overstayed your visa as long as your original, legal entry was for at least 1 year.
If you were not originally admitted to the U.S. for at least 1 year, then you must go back to the Philippines to apply.
Good luck.