if you want ot assure the rails dont come loose you can use double nuts or nylock nuts.
most will be coarse thread bolts, but if you see fine thread used, remember that the same torque will have greater pulling force and the point of the limit isn't to stop the fastener from stripping , its because a lot of the rails will use embedded nuts, they might look kind of similar to what the legs of your couch might screw into. using locknuts is fine, cup washers or "belville washers" can vary by thickness , thus different torque, to flatten them.
the washers keep tension on the bolts which is desirable. it also helps them not come loose. If there is enough thread you can lock two nuts together rather then looking for nyloc nuts or use locktite just not the red ( permanent) one, the re are less permanent ones ( blue for small fasters is one I use often)
poplar is a cheap wood, it is a hardwood technically, it is a deciduous tree, but isn't actually a "hard wood" Its not too bad for staying straight, not a lot of figure, it's not heavy enough to make high quality pool table rails but it will suffice.
One of the ways to identify poplar, it often has sort of a green tinge to parts of the grain. lots of things like cheap modern furniture which is to be covered by veneer use it. the grain isn't particularly exciting, a lot like our western pine. its not so hard and strong, like maple.
something unusual I found with my very old table , the staples used were very tiny ones, only about 1/8" crown and about 3/16 long.. Glues were never used. if they wereit was hoof glue.
I could see by the stapling that it had been done quite a few times using the same tiny staples.. that indicated it was recovered probably by the same man , Id guess about 10 times.. because most of the staples were still there I could tell that he didn't pull them, he just pulled the felt off and staples stayed in the table..
out of curiosity I searched for staples or a stapler of this size, found nothing. Some furniture tacks were used, some like to use tacks. I used them (vintage style ) for some things like holding the pocket nets to the underside of the table. I bought a bunch for recovering vintage furniture that predates staples.( to retain authenticity) unlike nails , these tacks are tapered and have a very sharp point.
The old school way ( before staples) was to put them in your mouth to dispense them and use a magetic hammer, a long time ago spitting tacks quickly was an upholterer's skill. they are blued, I've heard because people put them in their mouths the bluing helped sterilize them.. the antidote for swallowing tacks is to eat lots of cotton balls. There's a scary thought..
the restorer couln't use both hands to hold nails and work the hammer , he needed a free hand to tension the cloth. Staples turned that into a single handed operation. Previous to that there was the magnetic tack hammer. I have one.. magnets weren't so strong way back when, so I keep a rare earth magnet stuck to it to increase its magnetism. The head is very slender because its often used in tight spaces, near obstacles. I seldom see them in use now. its nice to do that if its a genuine and proper antique restoration an you want to retain the authenticity.
because they are square and tapered the tack will take a lot of side load, they also pull out a lot more easily than a nail because they are tapered.