Here is some python code that shows how you'd pull the S19's info and search for the LSTime. If the last share time is too large, you might want to restart the machine.

check_lstime.py

import requests
from requests.auth import HTTPDigestAuth

TEN_MINUTES_IN_SECONDS = 60 * 10
HIGH_LSTIME_IN_SECONDS = 120

session = requests.Session()


class S19Miner:
    def __init__(self, ip_address):
        self.ip_address = ip_addres
        self.username = 'root'
        self.password = 'root'

    # This wraps around the http networking
    def get(self, url):
        try:
            response = session.get(url=url, auth=self.get_auth(), timeout=(5, 10), allow_redirects=True, verify=False)
        except requests.exceptions.RequestException as e:  # This is the correct syntax
            response = FakeResponse(599)
            response.exception = e
        return response

    def get_auth(self):
        return HTTPDigestAuth(self.username, self.password)

    def update_last_share_time(self):
        status_url = 'http://{ip}/cgi-bin/pools.cgi'.format(ip=self.ip_address)
        response = self.get(status_url)
        json_value = response.json()
        pool_array = json_value['POOLS']
        seconds_since_last = 24 * 60 * 60  # one day
        if pool_array is not None:
            for one_pool in pool_array:
                pool_index = int(one_pool['index'])
                if pool_index >= 0:
                    lstime = one_pool['lstime']
                    if lstime != "0":
                        last = timestamp_to_seconds(lstime)
                        if last < seconds_since_last:
                            seconds_since_last = last
        if seconds_since_last < TEN_MINUTES_IN_SECONDS:
            # we haven't submitted a share in 10 minutes.
            # maybe we should bounce this worker
            # print("Last share time valid: ", seconds_since_last)
            pass
        else:
            print(self.ip_address, "Last share time too old: ", seconds_since_last)
            # In my larger application, this line is relevant, but commenting for the gist
            # self.status_string = LAST_SHARE_STRING

        # In my larger application, this line is relevant, but commenting for the gist
        # self.worker_stats.lstime = seconds_since_last

This probably will not work for your out of the box, but it shows:

1. How to make an http call to your miner, with auth
2. How to parse the response into a python dictionary that you can interrogate