There is nothing your neighbor can do to you legally because your baby cries. Dogs are another story. Most cities, counties and HOAs have rules against dogs excessive barking and it does not matter when they bark--in communities I've lived in and represented, the city and the county both have dog barking rules. Here, if 3 separate neighbors complain about a dog's barking to the city, the owner is sent notices, then fines, then they follow up with the neighbors, and if it still is not taken care of, the city takes the dog and euthanizes it (and this is pro-animal rights California). The county, after complaints from 3 separate neighbors, lobs heavy fines at the owner, and the owner has to come to monthly court hearings, until all the complaining neighbors have attested that the barking is remedied. Here, the authorities don't get into "what is excessive" because if 3 neighbors complain, they assume it's a problem. Those who live in an HOA also have the Board pursue the owner, so it's a triplicate attack, or just a double attack with the city and county. You must find out the rules of your city and county regarding dogs barking. Due to the fact that so many people work from the internet, are business owners, are in real estate, and other businesses run from home due to the advancements of technology, I've never seen a law or an HOA make any distinction that a dog's barking can not be actionable because it is during the day--in the neighborhoods I've lived in and represented, many people were home/retired/worked from home/were old and infirmed so day or night did not make a difference. You can call the city and county and HOA (if you have one) and see what the specific rules are in your jurisdiction. I highly recommend that you buy a barking collar or a barking box. They are inexpensive, do not hurt the dog, and are quite effective (they emit an unpleasant sound everytime your dog barks, that only your dog can hear)--it trains him not to bark--batteries must be changed frequently though.