The period at which they commence depositing eggs probably depends on the strength of the colony, amount of honey on hand, &c., and not the time they commence gathering food.
I once removed the bees from a hive on the tenth of January, and found brood amounting to about five hundred, sealed over, and others in every stage of growth down to the egg.
This hive had been in the house, and kept warm; it will doubtless be supposed that being kept warm was the cause; but this is not a solitary instance. A neighbor lost a hive the fourteenth February, in weather cold enough to seal the entrance with ice, and smother the bees. I assisted to remove the combs, and found young brood in abundance, from the perfect bee, through all stages of growth. This stock had been in the cold all winter. I have further noticed, when sweeping out the litter under the hives early in spring, say the first of March, that young bees would often be found under the best stocks. Hence it appears there is but little time, and perhaps none, when our best stocks have no broods. Yet stocks, when very weak, do not commence till warm weather. It seems that a certain degree of warmth is necessary to perfect the brood, which a small family cannot generate.
The first eggs are deposited in the centre of the cluster of bees, in a small family; it may not be in the centre of the hive in _all_ cases; but the middle of the cluster is the warmest place, wherever located. Here the queen will first commence; a few cells, or a space not larger than a dollar, is first used, those exactly opposite on the same comb are next occupied. If the warmth of the hive will allow, whether mild weather produces it, or the family be large enough to generate that which is artificial, appears to make no difference; she will then take the next combs exactly corresponding with the first commencement but not quite as large a place is used as in the first comb. The circle of eggs in the first is then enlarged, and more are added in the next, &c., continuing to spread to the next combs, keeping the distance to the outside of the circle of eggs, to the centre or place of beginning, about equal on all sides, until they occupy the outside comb. Long before the outside comb is occupied, the first eggs deposited are matured, and the queen will return to the centre, and use these cells again, but is not so particular this time to fill so many in such exact order as at first. This is the general process of small or medium sized families. I have removed the bees from such, in all stages of breeding, and always found their proceedings as described.