On image 2 did I index the name correctly on the Oath of Allegiance?

Lisa Kay Horlacher

I put:

given name: Jacob or Fred

surname: Koppelman or Jacques

****Please check image 1, After doing image 2, I am thinking that Jacks or Jacques should be in the surname field?

US, New York—Eastern District Naturalization Records, 1906–1957 [Part A][MQHN-7V8]

erutherford

For the OOA, you will go by the signature(s), so you did this correctly. However, on Image 1, the Surname will be Koppelman Or Jacks or Jacques Or Koppleman.