Elisabetta is the Italian form of Elizabeth — from the Hebrew Elisheba ("my God is an oath"). Queen Elisabetta Gonzaga (1471-1526) was the Renaissance Duchess of Urbino, celebrated in Castiglione's The Book of the Courtier.
Elisabetta Canalis (born 1978) is the Italian actress; Elisabetta Sirani (1638-1665) was the Bolognese painter.
Elisabetta 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 Elisabetta reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.