Just to be sure because this is important, often misunderstood and comes up often.
Originally Posted by Bosshoff
...If I am from Illinois, can I purchase a firearm from a private party in Iowa? I don't think I would have to have something shipped to an IL. FFL in this case. Am I incorrect?
You are incorrect.
Here is the long version, with details, of what Brian and Spats McGee wrote -- the whole federal law story on interstate transfers of firearms (not including the rules for those with Curio and Relic licenses and the subject of dual residency):
 Under federal law, any transfer (with a few, narrow exceptions, e. g., by bequest under a will) from a resident of one State to a resident of another must be through an FFL. The transfer must comply with all the requirements of the State in which the transfer is being done as well as all federal formalities (e. g., completion of a 4473, etc.).
 In the case of handguns, it must be an FFL in the transferee's State of residence. You may obtain a handgun in a State other than your State of residence, BUT it must be shipped by the transferor to an FFL in your State of residence to transfer the handgun to you.
 In the case of long guns, it may be any FFL as long as (1) the long gun is legal in the transferee's State of residence; and (2) the transfer complies with the laws of the State in which it takes place; and (3) the transfer complies with the law of the transferee's State of residence.
 In connection with the transfer of a long gun, some FFLs will not want to handle the transfer to a resident of another State, because they may be uncertain about the laws of that State. And if the transferee resides in some States (e. g., California), the laws of the State may be such that an out-of-state FFL will not be able to conduct a transfer that complies.
 There are no exceptions under the applicable federal laws for gifts, whether between relatives or otherwise, nor is there any exception for transactions between relatives.
 The relevant federal laws may be found at: 18 USC 922(a)(3); 18 USC 922(a)(5); and 18 USC 922(b)(3).
Here's what the statutes say:
18 U.S.C. 922. Unlawful acts
(a) It shall be unlawful—
(3) for any person, other than a licensed importer, licensed manufacturer, licensed dealer, or licensed collector to transport into or receive in the State where he resides (or if the person is a corporation or other business entity, the State where it maintains a place of business) any firearm purchased or otherwise obtained by such person outside that State, except that this paragraph
(A) shall not preclude any person who lawfully acquires a firearm by bequest or intestate succession in a State other than his State of residence from transporting the firearm into or receiving it in that State, if it is lawful for such person to purchase or possess such firearm in that State,...
(B) shall not apply to the transportation or receipt of a firearm obtained in conformity with subsection (b)(3) of this section, and (C) shall not apply to the transportation of any firearm acquired in any State prior to the effective date of this chapter;
(5) for any person (other than a licensed importer, licensed manufacturer, licensed dealer, or licensed collector) to transfer, sell, trade, give, transport, or deliver any firearm to any person (other than a licensed importer, licensed manufacturer, licensed dealer, or licensed collector) who the transferor knows or has reasonable cause to believe does not reside in (or if the person is a corporation or other business entity, does not maintain a place of business in) the State in which the transferor resides; except that this paragraph shall not apply to
(A) the transfer, transportation, or delivery of a firearm made to carry out a bequest of a firearm to, or an acquisition by intestate succession of a firearm by, a person who is permitted to acquire or possess a firearm under the laws of the State of his residence, and....
(B) the loan or rental of a firearm to any person for temporary use for lawful sporting purposes;
(b) It shall be unlawful for any licensed importer, licensed manufacturer, licensed dealer, or licensed collector to sell or deliver --
(3) any firearm to any person who the licensee knows or has reasonable cause to believe does not reside in (or if the person is a corporation or other business entity, does not maintain a place of business in) the State in which the licensee's place of business is located, except that this paragraph
(A) shall not apply to the sale or delivery of any rifle or shotgun to a resident of a State other than a State in which the licensee's place of business is located if the transferee meets in person with the transferor to accomplish the transfer, and the sale, delivery, and receipt fully comply with the legal conditions of sale in both such States (and any licensed manufacturer, importer or dealer shall be presumed, for purposes of this subparagraph, in the absence of evidence to the contrary, to have had actual knowledge of the State laws and published ordinances of both States), and...
(B) shall not apply to the loan or rental of a firearm to any person for temporary use for lawful sporting purposes;