THIS IS NOT LEGAL ADVICE
I found a good site that might help in your search for info called Multicode.com.
Here is the link to Municipal Codes for Indiana
. First select the city or county that you want to check and then select " ... Code of Ordinances".
Once you are in the list you need to find the area covering firearms, sometimes you will see a chapter or section for firearms is in the main menu but in most cases it is located within a subsection. Check in chapters titled "PUBLIC SAFETY" or "OFFENSES AND MISCELLANEOUS PROVISIONS" until you find the section on firearms. That should give a you a starting point .. most times it is very clearly listed as prohibited or restricted to a range and I would probably call it case closed. This is common language:
"(A)No firearms, including air rifles and pellet guns, are to be discharged within the city limits except as specified in subsections (a)(1) and (2):
(1)The discharge of firearms is permitted in the act of self-defense or the protection of private property.
(2)The discharge of firearms is permitted in areas designated by the city council as firing ranges."
A lack of prohibition would make me look further before I just start popping off rounds.
THIS IS NOT LEGAL ADVICE
but it maybe possible to shoot within a city limit, here are some examples of the codes in some GA and CO cities
The code regarding discharge in one CO city:
"2. Any person to recklessly or with criminal negligence discharge a firearm or shoot a bow and arrow or blow-dart weapon."
that means you could shoot as long as it isn't "reckless" but that determination would fall to the judge if it went to trial
"air guns" are another story, fair amount of restriction:
"6. Any person to discharge an air gun anywhere in this City except in shooting galleries or on any private grounds or in any residence where such instrument can be fired, discharged or operated in such a manner that the projectile does not travel outside the limits of such gallery, grounds, or residence; and, provided further, that the instrument shall not be discharged or operated in such a manner as to endanger persons or property. Nothing herein contained shall be construed to prevent the concealed carrying of any air gun when unloaded and properly cased to and from any range or gallery."
Here is one from GA:
(a)It shall be permitted to discharge a weapon within the city limits under the following conditions:
(1)In compliance with the game and fish code as set forth by the state general assembly and the regulations set by the state board of natural resources, wildlife resources division (a copy of the code and regulations may be obtained by contacting the secretary of state's office).
(2)On property of zero to 20 acres in size a permit to discharge a weapon must be obtained by the landowner from the chief of police unless landowners with adjoining acreage (totaling 20 acres) are in an agreement that discharging a weapon is allowable.
(3)The individual discharging the weapon must not do so in such a manner that the projectile crosses another's property line, endangering life or property.
(4)The individual discharging the weapon must be the landowner himself, the landowner's legal relative or a guest of the landowner holding written permission (leasing property to hunting clubs is not permissible).
(5)Possession of a pest control permit issued by the city.
So check the ordinances for your local area carefully before you pull the trigger THIS IS NOT LEGAL ADVICE