From The Collaborative International Dictionary of English v.0.48 :
Bill \Bill\, v. i. [imp. & p. p. Billed; p. pr. & vb. n.
Billing.]
1. To strike; to peck. [Obs.]
[1913 Webster]
2. To join bills, as doves; to caress in fondness. "As
pigeons bill." --Shak.
[1913 Webster]
To bill and coo, to interchange caresses; -- said of doves;
also of demonstrative lovers. --Thackeray.
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From The Collaborative International Dictionary of English v.0.48 :
Billing \Bill"ing\, a. & n.
Caressing; kissing.
[1913 Webster]
From WordNet (r) 3.0 (2006) :
billing
n 1: request for payment of a debt; "they submitted their
charges at the end of each month" [syn: charge,
billing]