Samuels is an allrounder whose classy batting will be the main string to his bow in the tests, but Shillingford is a key operator for the West Indies.
The tall offspinner has taken 59 wickets in 12 tests, including 11 in two innings in India.
His doosra caught the umpires' attention in India, and Samuels' faster ball didn't look right to the officials.
The assessors' report will be sent to the West Indies management in 14 days, "so we are hoping we'll get a positive result and the guys can put the episode behind them and start to focus much more on cricket".
Shillingford, 30, and Samuels, 32, were unlikely to be fazed by the experience, Gibson added.
"It's tough for them but I think they coped with it quite well, and will definitely come into the reckoning for this test."
Gibson indicated that senior seamer Tino Best, whose figures of 49 wickets from 22 tests are modest, would lead the West Indies bowling attack with one of the two new-ball bowlers from the low-key warmup game in Lincoln, left armer Sheldon Cottrell or Shannon Gabriel.