An alias summons, in most jurisdictions, is what the summons is called on the second attempt to serve the defendant with process. Service of it is accomplished in the same way that the original summons is served, unless governing law provides differently. The third and subsequent summonses are often referred to as pluries summonses.
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It would be issued & served on the known birth name of the person. However - it would also have the alias(es) listed on the document - so that the person tho whom it relates cannot say they weren't the person concerned.
A summons issued when original has not produced its effect because defective in form or manner of service, and when issued, supersedes the original summons.