Before Names:
array(6) { [0]=> string(9) "Ted Lewis" [1]=> string(9) "Sue Jones" [2]=> string(10) "Ray Thomas" [3]=> string(10) "Biggie Dog" [4]=> string(13) "Leonardo Lion" [5]=> string(7) "Top Cat" }

After deleting [2]:
array(5) { [0]=> string(9) "Ted Lewis" [1]=> string(9) "Sue Jones" [3]=> string(10) "Biggie Dog" [4]=> string(13) "Leonardo Lion" [5]=> string(7) "Top Cat" }

Name[1]: [Sue Jones]

Name[2]: []

After removing gaps:
array(5) { [0]=> string(9) "Ted Lewis" [1]=> string(9) "Sue Jones" [2]=> string(10) "Biggie Dog" [3]=> string(13) "Leonardo Lion" [4]=> string(7) "Top Cat" }