make sth up out of whole cloth

make sth up out of whole cloth (to create a story or a lie from no facts at all) — взять с потолка; из пальца высосать

Example 1: I don't believe you. I think you made that up out of whole cloth. — ...ты все это выдумала, из пальца высосала.
Example 2: Ann made up her explanation out of whole cloth. There was not a bit of truth in it. (NTC's) —