Which preposition to use with collateral

of Occurrences 5%

Here she found, already established, the two Plinies, with Mari', the sister of the elder Pliny, Bess, the wife of the younger, and Monyalias Desdemona a collateral of the race, by ties and affinities that garter-king-at- arms could not have traced genealogically; since he would have been puzzled to say whether the woman was the cousin, or aunt, or step- daughter of Mari', or all three.

in Occurrences 1%

They bought lands and slaves wherewith to grow cotton, and with the proceeds ever bought more slaves to make more cotton; and oftentimes they borrowed heavily on their lands and slaves as collateral in order to enlarge their scale of production the more speedily.

on Occurrences 1%

" "Collaterals on the distaff side," Mr. Fowler put in hastily.

Which preposition to use with  collateral