There is a 'residence requirement' for NYS P/P applicants (or at least there was).
Again it may vary my County. In Monroe Cty (Rochester) the applications stated that the applicant had to be a resident of the County for at least 6mo PRIOR to the date of their application.
..and you must provide 3 additional character references from the State (or other NYS County) you lived previously if you have not been here for at least 3 years. This is in addition to the 4 local references already required. All references signatures notarized.
Current wait here is about 1 yr. They will tell you 6mo, but at 6mo they tell you they're still working on it and it;ll be another 5 or 6.
Here's a link to the Onondaga Cty Sheriffs Pistol Permit Application:
http://sheriff.ongov.net/wp-content/uploads/2016/04/NYS-Pistol-License-Application-6-7-17.pdf
Read through this baby and you'll be drinking early today.
I'm sure there's differences in fine point rules from other Counties around it but the general application is the same.
Best of Luck to you and your Daughter
added: It used to be that you had to actually buy a handgun first, have the dealer give you a receipt w/the gun description, ser#, ect on it and turn that info in with your application. The dealer hung on to the handgun while the permit application was being processed.
When the permit was issued, it came through with that gun already on it. You then went to the dealer and collected 'your' pistola. The dealer gets a small receipt from the P/P licensing agent (County Clerk) that says it's Ok to release the gun to the permit holder.
That worked OK when permits were issued in a few weeks. But now with months and yr(s) wait,,the dealer doesn't want to keep a decent gun out of rotation.Some demanded paid in full w/no refund on an application gun purchase. Always a chance the permit gets denied.
So many started a 'permit getter' selection as Wise A mentioned. Usually cheap top breaks for under $50 just to apply for the permit on.
Now most (all?) countys allow you to apply with out demanding the up front purchase of a handgun (how nice of them).
Your permit does not expire if there are no pistols on it either, but some put limits on them in total number, number of guns in the same caliber, when and where the pistol can be used and for what purpose, ect.
All depends on what the almighty Judges feel like doing.