Name servers are more than just an A record. You need to create a name server record with Domain Registrar. Verifying name servers are not easy for many TLD, you have to trust your domain registrar. Only they can verify name server creation with Extensible Provisioning Protocol (EPP) commands.
Luckily for com/net/org domains, you can verify name server IP using
https://www.internic.net/whois.html
You can also use whois command to do the same.
whois "nameserver=ns1.hostonnet.com"
Example
boby@hon-pc-01:~$ whois "nameserver=ns1.hostonnet.com" Server Name: NS1.HOSTONNET.COM IP Address: 162.251.82.250 IP Address: 162.251.82.123 IP Address: 162.251.82.251 IP Address: 162.251.82.122 Registrar: PDR Ltd. d/b/a PublicDomainRegistry.com Registrar WHOIS Server: whois.PublicDomainRegistry.com Registrar URL: http://www.publicdomainregistry.com >>> Last update of whois database: 2017-08-07T16:25:23Z <<< For more information on Whois status codes, please visit https://icann.org/epp NOTICE: The expiration date displayed in this record is the date the registrar's sponsorship of the domain name registration in the registry is currently set to expire. This date does not necessarily reflect the expiration date of the domain name registrant's agreement with the sponsoring registrar. Users may consult the sponsoring registrar's Whois database to view the registrar's reported date of expiration for this registration. TERMS OF USE: You are not authorized to access or query our Whois database through the use of electronic processes that are high-volume and automated except as reasonably necessary to register domain names or modify existing registrations; the Data in VeriSign Global Registry Services' ("VeriSign") Whois database is provided by VeriSign for information purposes only, and to assist persons in obtaining information about or related to a domain name registration record. VeriSign does not guarantee its accuracy. By submitting a Whois query, you agree to abide by the following terms of use: You agree that you may use this Data only for lawful purposes and that under no circumstances will you use this Data to: (1) allow, enable, or otherwise support the transmission of mass unsolicited, commercial advertising or solicitations via e-mail, telephone, or facsimile; or (2) enable high volume, automated, electronic processes that apply to VeriSign (or its computer systems). The compilation, repackaging, dissemination or other use of this Data is expressly prohibited without the prior written consent of VeriSign. You agree not to use electronic processes that are automated and high-volume to access or query the Whois database except as reasonably necessary to register domain names or modify existing registrations. VeriSign reserves the right to restrict your access to the Whois database in its sole discretion to ensure operational stability. VeriSign may restrict or terminate your access to the Whois database for failure to abide by these terms of use. VeriSign reserves the right to modify these terms at any time. The Registry database contains ONLY .COM, .NET, .EDU domains and Registrars. boby@hon-pc-01:~$