First one is hard to say... maybe A. Aculeus or A. Tenuis but would need a more clear photo. The second one looks right with A. Millepora.
If you are looking for brand names, then they don't have one unless they came with a lineage back to the originator. If not, then you can name them whatever you want, or call them so-and-so look a like or clones. Calling them a named piece without any lineage is bad karma that you don't want any part of, but saying Bonsai-type coral for a purple piece with green polyps is fine since you didn't try to put the lineage back to Garf.