“And if...changes their last name...not the same age”
The census data (names and ages) could (and should) be used.
1. Every person is counted (i.e. included in the census)
2. the citizenship of each person should be determined
3. states should be allocated districts based on citizenship as per Amendment XIV
4. districts are then created by the states
Every person has to be counted by the census (as per Amendment XIV) so their possible improper exclusion on the basis of male gender and race from the franchise can be determined.
The name, age and address (and as I recollect race) of every US resident is taken down too by the census.
Citizenship is best determined by other means than merely asking foreign citizens resident in the USA.
Asking citizenship on a census form would however make mistaken exclusion of citizens from Congressional district allocation easier to challenge.
A lot can happen in 10 years.