It may be that you are not able to find the birds owners, but it is noble to try.
Start thinking of arrangements now (where will the bird be housed, which cage, any other supplies you may need, extra bowls etc), and in a week or two if noone steps forward, then buy the things on your list and start transitioning the bird into your family, (or find him a new home if you cannot keep him).
When I found Aldora, I only named her one month to the day of finding her on my doorstep after failing to find her owners, she was nameless and in quarantine in my kitchen for that 4 week period.