Site vs. Sight vs. Cite

"A tally was kept of all birds sited by birders."

Site ~ to put (something) in a particular place.
Sight ~ to see or observe (something).
Cite ~ to add footnotes showing the source of your information.

Which of these three sound-alike words should a birder use?  The second one, about sight.  They didn't place birds somewhere, but they kept a record of the birds they saw.