Sometimes it depends on cities and areas you live in. Some animal controls will let rent/borrow a trap. They will fix and dock their ear for identification once caught. Then allow you to release them back into their colony. Helps with mice and rats. But, you should actually try calling one of their offices if you do not find what you seek on the web site.
No, when I called animal control about a feral cat I was feeding that disappeared they told me they do not pick up cats.
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