JSFiddle - React, Tailwind, and code Playground

HTML

<form onsubmit="check()">
  <table border="0" cellpadding="5" cellspacing="5" id="new">
  <h3>Neue Person</h3> 
    <tr>
      <td align="right">Name:</td>
      <td><input name="Vorname" type="text" class="feld" size="30" maxlength="30" placeholder="Name" id="vname"></td>
    </tr>
    <tr>
      <td align="right">Nachname:</td>
      <td><input name="Zuname" type="text" class="feld" size="30" maxlength="40" placeholder="Nachname" id="nname"></td>
    </tr>
    <tr id="g_zeile">
      <td align="right" valign="top">Geschlecht:</td>
      <td>
        <input type="radio" class="Radio" name="g_m" value="m" id="m"> männlich<br>
        <input type="radio" class="Radio" name="g_w" value="w" id="w"> weiblich
      </td>
    </tr>
    <tr>
      <td align="right" valign="top">Geburtsdatum:</td>
      <td>
       	<input type="text" placeholder="Tag" size="2" maxlength="2" id="b_d"/>
		<input type="text" placeholder="Monat" size="2" maxlength="2" id="b_m"/>
		<input type="text" placeholder="Jahr" size="4" maxlength="4" id="b_j"/>
      </td>
    </tr>
	<tr>
	<td align="right" valign="top">Sterbedatum</td>
	<td>
		<input type="text" placeholder="Tag" size="2" maxlength="2" id="o_d"/>
		<input type="text" placeholder="Monat" size="2" maxlength="2" id="o_m"/>
		<input type="text" placeholder="Jahr" size="4" maxlength="4" id="o_j"/>
	</td>
	<tr>
		<td align="right" valign="top">Geburtsort</td>
		<td><input type="text" class="feld" placeholder="Geburtsort" size="20" maxlength="" id="b_area"/></td>
	</tr>
	<tr>
		<td align="right" valign="top">Sterbeort</td>
		<td><input type="text" class="feld" placeholder="Sterbeort" size="20" maxlength="d_area"/></td>
	</tr>
    <tr>
      <td align="right" valign="top">Mutter:</td>
      <td>
      <select name="Mutter" class="Auswahl" size="1">
	  <option value="">auswählen</option>
        <option value="1"></option>
        <option value="2"></option>
        <option value="3"></option>
        <option value="4"></option>
     ...

JavaScript

function addfield () { 
var text = document.createTextNode("Geburtsname:");

var addfield = document.createElement("input"); 
addfield.setAttribute("type","text"); 
addfield.setAttribute("size","60"); 
addfield.setAttribute("name","geb_name");

var feld1 = document.createElement("td"); 
feld1.appendChild(text);

var feld2 = document.createElement("td"); 
feld2.appendChild(addfield);

var zeile = document.createElement("tr"); 
zeile.setAttribute("id","geb_name_zeile"); 
zeile.appendChild(feld1); 
zeile.appendChild(feld2);

var tabelle = document.getElementById('new'); 
var gzeile = document.getElementById("g_zeile"); 
tabelle.tBodies[0].insertBefore(zeile,gzeile);

 }

document.getElementById("m").addEventListener('click', addfield);
document.getElementById("w").addEventListener('click', addfield);