How do I utilize dot notation when rendering components?

I have a simple component which is supposed to render different kind of fields into my form component:

import React from "react";

export default class Field extends React.Component {

  render() {
    switch (this.props.type) {
      case 'textarea': {
        return (
          <div className="col-xs-12">
            <textarea
              placeholder={this.props.placeholder}
              name={this.props.name}
            >
            </textarea>
          </div>
          )
      }
      case 'text': {
        return (
          <div className="col-md-6 col-lg-4">
            <input
              type="text"
              placeholder={this.props.placeholder}
              name={this.props.name}
            />
          </div>
        )
      }
    }
  }
}

And I'm using this component in my form component like this:

export default class SubmitForm extends React.Component {

  render() {
    return (
        .
        .
        .
        <Field
          type="text"
          placeholder="something"
          name="something"
        />
        <Field
          type="textarea"
          placeholder="another"
          name="othername"
        />
        .
        .
        .
    )
  }
}

What I have in mind is to somehow implement my field component to be able to use dot notation as explained in Using Dot Notation for JSX components which I have seen many other libraries and I want to be able to use this component like this:

<Field.Text name="sth" placeholder="sth" />
<Field.TextArea name="other" placeholder="other stuff" /> 

But I can't do it the way mentioned in React docs. How can I do this?