Thanks very much for all the replies and info.

BTW, I had initially sent the photo (3 pieces on ground) to Newton Commercial asking about orientation of felt (middle piece in photo,) and received what appeared to be a "canned response" , no answer to my question, and a copy of installation directions that i already had. 
Directions were not clear to me, thus I posted here. 

Thanks again.

Zapster IS confused!
The original photo is of a insulation pad for the engine bay side in a right-hand drive car. The vinyl (?) black coating is supposed to keep the absorbent padding dry. (See my comment about the corroding fuse box.)
The other two photos he posted are of a man installing carpet underlay on the firewall. The big square cut-out is for the heater. The smaller Y-shaped cutout is for the pedal box. The other smallest cutouts may be for wire looms or brackets under the parcel shelf. The shiny stuff on the floor what appears to be sound-deadening material (maybe FatMat or something similar) with a foil covering.

In zapster's third post, with picture of the 3 pieces, the middle piece is the carpet underlay for the firewall up to the underside of the parcel shelf. Note it is for a right hand car - the corner cut-out would probably be for the heater intake. It is otherwise reversible for a left hand car - just cut out the other corner and use the scrap to fill the existing cutout.

Dan has it right.

The first item in you pictures is installed like this in an early car, I Have a 62 installed like this. also LHD. There was a pre-cut knock out for the fresh air heater hose.

It is quite confusing...  The piece in the original photo looks to have a black vinyl cover on one side. True or false? The one in the later photos doesn't.
Current pic is of what I have to install. I've been assuming the original pic posted, (stock photo,) is of the felt underlayment with carpet "attached." I didn't think it was vinyl attached.  I think one of the upper and lower carpet pieces in current photo goes on top of the underlayment depending on particular year of car, mine is  1963

IMHO the overall shape tells me it belongs on the inside of the car under the dash (as per the later photos).  However, if this is true, then it wouldn't have the black vinyl. Also, if the black vinyl is attached then it can't be reversed... which it will need to be to fit a LHD car. (why would you want black vinyl against the firewall??)   

This is to be installed in a LHD Mini.

My questions would be: "do you have this piece off material and want to fit it "somewhere" "- but can't decide where?

I've been assuming this goes under the dash, behind heater box as seen in screenshots 2nd and 3rd pic posted.

Or: "Do you want to fit insulation somewhere in particular (under the dash or under the bonnet) and are wondering if this is the correct piece"?

So, if this underlayment (current pic, middle item) goes under dash, my main question is of it's orientation: which side is up, which side goes to the left. 

Thank you...

It would also help to know the age of your car as I would assess the pictured piece as belonging to a late model (80s?)

It is quite confusing...  The piece in the original photo looks to have a black vinyl cover on one side. True or false? The one in the later photos doesn't.

IMHO the overall shape tells me it belongs on the inside of the car under the dash (as per the later photos).  However, if this is true, then it wouldn't have the black vinyl. Also, if the black vinyl is attached then it can't be reversed... which it will need to be to fit a LHD car. (why would you want black vinyl against the firewall??)

My questions would be: "do you have this piece off material and want to fit it "somewhere" "- but can't decide where?

Or: "Do you want to fit insulation somewhere in particular (under the dash or under the bonnet) and are wondering if this is the correct piece"?

It would also help to know the age of your car as I would assess the pictured piece as belonging to a late model (80s?)

Cheers, Ian

I'm a little confused.  It sounds like from comments posted here this piece goes "underhood", in the engine bay bulkhead area, which makes sense if 2 cutout pieces are for the hinges as mentioned.
From Youtube video images, it looks like this gentleman is installing a similar felt piece in car under dash area. 

The two notches are for the hinges, black out, jute against the firewall. A bit fiddly to fit in. I have a large weber box that it covered nicely.

Your pic has the insulation pad upside down - we see the bulkhead side, with the hinge cut-outs at the bottom.
The irregular cut-out seen on the left would be for the right-hand drive master cylinders. You will have to mirror the cut-out  on the other side, saving the cut away piece to infill the existing cut-out.

Items like the fuse box get detached from the firewall/bulkhead and re-attached through the pad.

I don't know what others think, but in my opinion, there are so many holes through and around the pad, it doesn't do much to abate sound or heat transmission to the cabin. I also suspect it encourages moisture retention behind the fuse box, resulting in corrosion of the exposed brass components, leading to fusebox failure. I tore mine out.

I'm going to take a guess because I've never seen this insulation before. The large squarish section is for the carb and the other shape is for the
clutch and brake master. See if that fits.

Can someone tell me which is the proper orientation of installation of under bulkhead insulation on a LHD classic Mini?