From https://stackoverflow.com/questions/33071950/how-would-i-grow-textinput-height-upon-text-wrapping

inputContentAutoHeight.jsx

class AutoExpandingTextInput extends React.Component {
  state: any;

  constructor(props) {
    super(props);
    this.state = {text: '', height: 0};
  }
  render() {
    return (
      <TextInput
        {...this.props}
        multiline={true}
        onChange={(event) => {
          this.setState({
            text: event.nativeEvent.text,
            height: event.nativeEvent.contentSize.height,
          });
        }}
        style={[styles.default, {height: Math.max(35, this.state.height)}]}
        value={this.state.text}
      />
    );
  }
}