First, it's a Honey Bear Insert with Series IV glass doors.
There were "Fisher Fireplace Inserts", Honey Bear, Cub Bear, Polar Bear (for manufactured zero clearance fireplaces) Tech IV and TF-88 "Flame" Insert. So they certainly do have names.
This model was tested by Warnock Hersey and should have a testing label on the side behind the front enclosure. Usually on the right side.
There should be some pictured on this Forum using the search feature at top. If not, there is now;
Sorry I don't have abetter picture of a tag.
The way to tell a Honey Bear at a glance is the ash fender. Notice it is a flat piece of steel with square corners. Regular Inserts with no Bear name have a rounded fender with 1 inch channel iron trim around the edge as shown below;
Here is the difference in glass opening of a Honey Bear Series III with smaller glass.
This was an early glass design, you have the latest. The tag should have manufacture date on it and will be late 80's just before production ended in '88.
It is worth far more than a regular Insert which are very common. It is also worth much more if the tag is intact allowing it to be used legally in all but CA, WA and OR. I'd say the Tech IV and TF-88 are the only Inserts worth more.
Inserts are a problem for collectors since they don't display well without installing into a hearth. This model would be the one to have to fill out a collection to include a rare Insert.
I can't imagine not using it, so if you do, make sure it is connected to a chimney liner all the way to the top. That is code nationally. Remove the upper front cover to be able to see the connection. It should be a shiny stainless steel tube going up the chimney. It should NOT look like the one pictured above slid into place venting up the existing chimney with a direct connected liner. A 'boot" is used at the appliance connection.
The blower is a Fisher accessory worth more than a regular entire Insert for sure.
It appears to be "Brass and Glass" and should have polished edges on the side draft caps if they are solid brass. Normal caps were aluminum.
The brass spring handle on the right where plating is worn off is still available at Woodman's Parts Plus.
If this was on the East Coast, I'd be making an offer for sure.