Some marks are easy to identify because they are well known or easy to find. I did not see a similar mark in my sources, but the lower case hh does sound familiar. So you have a hunt on your hands. You should consult many books on the subject including:
"Pictorial Guide to Pottery and Porcelain Marks" by Chad Lage
"Kovels New Dictionary of Marks - Pottery and Porcelain 1850 - Present" by Ralph and Terry Kovel
"Miller's Antique Marks" by Judith Miller
You can also search websites like Kovel's or Antique Marks.
Another method is to describe on of the figurines in Google image until something of a similar style pops up.. If you search on eBay, you'll see that most such items display the back stamp. Of course many sellers who show back stamps do not always know the name of the company who produced the item. This is a long and grueling procedure. You can revisit the site as inventory changes often.
First, take a look at the marks with a magnifying glass to be sure exactly what you are seeing and to clarify your confusion over what is in the shield. Those marks can be a bit blurry.