Every Named begins as a claimant.
A claimant is an individuals who has traits that make them eligible for a Name. It is possible to have more than one claimant for a Name. In fact Squire had four individuals, while Warlock had at the very least two. A single individual cannot claim a Name until either the other claimants have been dispatched or given up their right to a name.
A claimant is by no mean powerful enough to fight on par with a name they still are able to tap into the powers of their name. This limited power is most likely to determine who is the most adept at harnessing the power of a name.