The park was named in 1956 for Miss Hazel Bazemore, assistant home demonstration agent, who was killed in an automobile accident in 1955. Miss Bazemore was a 1950 graduate of Oklahoma A&M College and began her services with Nueces County in August of 1950.
In September 1977, the park was made into a nature park and environmental study area.
Nueces County Park Rules and Regulations
| Speed limit: 15 mph in the park | |
| Littering is prohibited. | |
| Small cooking fires are allowed on open beach areas only. | |
| Camping must be in designated areas only and by permit only. | |
| Pets must be attended at all times on a leash. | |
| Fireworks, firearms, pellet or b-b guns, bow and arrows are prohibited. | |
| Only hook and line fishing is permitted from the piers. | |
| Surfing is not allowed in restricted areas. | |
| Glass containers are prohibited on the beach. | |
| Driving and camping in sand dunes is prohibited. Also, any destruction of vegetation is prohibited. |