Hawkins is from the Old English hafoc (hawk) + the diminutive -kin + the possessive -s — literally little hawk's son. Coleman Hawkins (1904-1969) — male; American jazz tenor saxophonist; one of the figures of jazz saxophone; Body and Soul (1939) is widely considered one of the most-influential jazz recordings. Stephen Hawkins — different from Stephen Hawking (Hawkins is the surname variant).
Hawkins does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Hawkins reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.