Not what the .
Figure 5-1 of the 1961 document (it's a PDF or I'd post the figure) is the national standard "Certificate of Live Birth".
As you can see it's pretty similar to Hawaii's, although the "race" category is labeled "race or color".
But here is what the document has to say about "Race or Color"
Race and color Births in the United States in 1961 are classified for vital statistics into white, Negro, American Indian, Chinese, Japanese, Aleut, Eskimo, Hawaiian and Part-Hawaiian (combined), and "other nonwhite." The category "white" includes, in addition to persons reported as "white," those reported as Mexican or Puerto Rican. With one exception, a reported mixture of Negro with any other race is included in the Negro group; other mixed parentage is classified according to the race of the nonwhite parent and mixtures of nonwhite races to the race of the father. The exception refers to a mixture of Hawaiian and any other race, which is classified as Part-Hawaiian. In most tables a less detailed classification of "white" and "nonwhite" is used. Completeness of birth registration in 1961 for "white" births is estimated to be 99.3 percent and for "nonwhite" births, 96.6 percent. The most recent figures for other groups are from the 1950 test which indicated registration completeness at that time to be 85.1 percent for American Indians and 97.4 percent for ''other races," chiefly Chinese and Japanese. Both figures are probably higher for 1961, but more precise estimates are not available. A comparison of the race designation in matched sets of birth certificates and census records from the 1950 registration completeness'test indicates very high agreement for white persons and Negroes. There were, however, substantially fewer American Indians recorded on birth records than on census records.
The word "Negro" appears in the document several times, but "African" not at all.
It was also very common for black Africans to think of their race as "African."
OK, got an example of another birth certificate, from a US state, preferably Hawaii, circa 1961 where the race of either parent is shown as "African"? If it's so common, an example should not be hard to find.
Everything you posted had to do with the race of the child not the race of the parent.
Even today, a parent can put whatever they want in race. All they have to do is check "other" and fill in the blank. See for yourself under item 25:
http://www.cdc.gov/nchs/data/dvs/birth11-03final-ACC.pdf