Both manuscripts are held by the "Stimer Family Collection" in Camarillo, USA.
Apparently this is the collection of Andrew Stimer who is connected to Scott Carroll (see Brent Nongbri's blogpost), and who sold several “Dead Sea Scrolls” to the Museum of the Bible, which have turned out to be fake manuscripts (see items 18, 77-79 in the list of unprovenanced post-2002 DSS maintained by the Lying Pen project).
I suspect it will take time before we learn anything about the provenance of these two items (if we will ever know). Also keep an eye on Roberta Mazza's blog, because I expect her to blog about Stimer and his stuff.
The first papyrus is dated to the second century in the Liste(!) and preserves 1 Cor 7:33-38 (recto. 8 lines) and 1 Cor 9:10-17 (verso, 11 lines).
The second papyrus (three fragments) is dated to the early third century and preserves Rom 9:21-22 (recto, 3 lines) and Rom 10:3-4 (verso, 3 lines).
At this point there is no reference to any editio princeps so I assume the dating of both papyri is provisional.
I have not checked whether the manuscripts offer any interesting variant readings – I must not work too much on my vacation – but perhaps readers would like to check the images and comment.
Update: In the comments, co-blogger Elijah Hixson draws attention to Brent Nongbri's blog (again) who in this post earlier this month pointed out that they are fragments of the two distinct manuscripts owned by the Greens and registered as P129 (1 Corinthians) and P131 (Romans). Now we also know who the owner is (Stimer).
Update 2: Greg Paulson of the INTF in Münster informs us that the entries in the Liste/NT.VMR (which appeared as P141 and P142) were provisional only and that the staff "are still reviewing whether these two fragments are parts of P129 and P131 at the Museum of the Bible and hope to make a determination soon." I have edited the original blogpost and removed the references to P141 and P142.
Update 3: Greg Paulson has informed me that the INTF has not yet decided whether to assign any GA numbers to these. They are currently working to first ascertain if the fragments are authentic. All the information in the VMR was only meant for internal evaluation and has not yet been verified. The INTF has removed the entries form public viewing for now to avoid confusion. In the meantime, you can contact Greg directly with questions.