Here’s how to describe snapshots using query with tags.

aws ec2 describe-snapshots \
--owner-ids xxxxxxxxxxx \
--profile default \
--region us-east-2 \
--output text \
--query "Snapshots[*].[SnapshotId,Tags[?Key=='Name'].Value[] | [0]]"

Result.

snap-xxxxxxxxxxxxxxxxx	Server1
snap-xxxxxxxxxxxxxxxxx	Server2