Which preposition to use with hatchings

of Occurrences 12%

All these spiders and their activities including growth, moulting, mating and hatching of babies were monitored by Dr Vijayalakshmi.

out Occurrences 1%

Last winter, being so mild, was very favourable for the hatching out of fly in the spring.

under Occurrences 1%

His antient beginning was a blue coat, since a livery, and his hatching under a lawyer; whence, though but pen-feathered, he hath now nested for himself, and with his hoarded pence purchased an office.

with Occurrences 1%

Almost savage hatchings with the point blend into finer touches from the toothed chisel; and here and there the surface has been treated with innumerable smoothing lines that round it into skin and muscle.

Which preposition to use with  hatchings