Gambit openings are not very popular openings in this modern times but were popular during Morphys' times. Think it has got to do with the gambit player sac material w/out clear compensation to it.
And the name of your opening is called the Philidor exchange variation(C41) ECO code. Now am wondering where you get the info that it is called a Birds' Gambit. Could not find amy info regarding that gambit.
It has come to my attention of a new gambit i have been playing for a while now, called the bird's gambit, has not recieved much attention or theory for that matter through out chess
Bird's Gambit:
this interesting gambit caught my attention when i started to play the philidor's exchange variation, and then noticed c3 gambiting the pawn to fill my developing needs(bc4 instead of c3 is the morphy defense as part of philidors defense), it is interesting how this is potentially as dangerous as the goriing gambit, but is unused today through many chess games, now although the philidors defense( e4 e5 nf3 d6) is not played so often as i would hope, this gambit seems to not be very popular........
so can anyone tell me why this gambit is not popular?!, my rating is near 1900, i have played this in every possible position and won with such, now that may be due in part of opponent skill but i do not know lines at all and treat it as a goriing gambit, so something here is wierd for such an opening to go unnoticed by chess players....
i was thinking about maybe refuting the gambit by nf6 after c3, there are many possibilities from there, but thats for another day, if you have any questions about the bird gambit, i know many lines, after 3 weeks of theory and independent study on it :D, it is very good in my opinion, if you want to play me and find out the horror as black i will be waiting for you, playing as white for me!