Pairing \Pair"ing\, n. [See Pair, v. i.]

1. The act or process of uniting or arranging in pairs or couples.

2. See To pair off, under Pair, v. i.

Pairyng time, the time when birds or other animals pair.

Source: Webster's Revised Unabridged Dictionary (1913)
 

Pair \Pair\, v. i. [imp. & p. p. Paired; p. pr. & vb. n. Pairing.]

1. To be joined in paris; to couple; to mate, as for breeding.

2. To suit; to fit, as a counterpart.

My heart was made to fit and pair with thine. --Rowe.

3. Same as To pair off. See phrase below.

To pair off, to separate from a company in pairs or couples; specif. (Parliamentary Cant), to agree with one of the opposite party or opinion to abstain from voting on specified questions or issues. See Pair, n., 6.

Source: Webster's Revised Unabridged Dictionary (1913)