Hmm..I'm getting old...excuses..not so clear but is the same offering as in scriptures below.
In 8 he reminds them about giving, tells he is sending Titus and I interpret 2 other trusted men from Macedonia to receive the collection from those in Corinth.
Romans 15:25-26
New American Standard Bible (NASB)
<sup class="versenum">
25 </sup>but now, <sup class="crossreference" value='(
A)'>
(A)</sup>I am going to Jerusalem <sup class="crossreference" value='(
B)'>
(B)</sup>serving the <sup class="footnote" value='[
a]'>
[a]</sup>saints. <sup class="versenum">
26 </sup>For <sup class="crossreference" value='(
C)'>
(C)</sup>Macedonia and <sup class="crossreference" value='(
D)'>
(D)</sup>
Achaia have been pleased to make a contribution for the poor among the <sup class="footnote" value='[
b]'>
[b]</sup>saints in Jerusalem.
1 Corinthians 16:3
New American Standard Bible (NASB)
<sup class="versenum">
3 </sup>When I arrive, <sup class="crossreference" value='(
A)'>
(A)</sup>whomever you may approve, I will send them with letters to carry your gift to Jerusalem;
Also Paul mentions it in Acts 24:17- this same collection being taken to "his nation"
Achaia - Corinth
The famine itself is documented in historical records is my understanding but I can't remember where I read it. You might check with a few good commentaries, they may say.
I understand that all these scriptures are refering to one offering collected from several churches under Paul's requests.