Hawai'i Samoa Havai'i Savai'i Conclusion
Reasons for Samoans to migrate directly to Havai'i could have been similar to that of other Polynesians to settle there: voyaging, a result of the Polynesian trade network, result of wars, and maybe even the demand for new land to sustain a rising population to live on.
This is not to doubt in any way that Hawaiians didn't travel south to Polynesia after settling in Hawai'i or that the mass migration to Hawai'i came from Eastern Polynesia, such as Tahiti or the Marquesas. Nor is it to say that all of the Polynesians islands were settled only by Samoans and only from west to east.
To theorize that there were large migrations to Hawai'i both directly and indirectly from Samoa has already been documented though not widely known about. Cultural and ancestral, ties such as the Samoan families of Paao and Pili, which later became the high priest and high chief families of Hawai'i. Oral traditions and naming of land by Hawai'ians (such as Havai'i, Upolu point, Ka'u, Tula, etc..) also are records to Samoan origin.
Conclusion: Names of locations can only mean that the people were of the same origin or had contact with each other. Because Savai'i and Havai'i are so close along with other aspects of the Hawaiian and Samoan languages that we can theorize that along with other Polynesian populations, Hawai'ians must have had direct or indirect contact with Samoa. This is why Polynesians can be considered cousins with common elements in culture and language that sart from the Samoa -Toga -Fiji historical connections.
Therfore if it should be accepted that Samoa and it's people were apart of the historical mass migrations to Hawaii.