Eloisa is the Italian/Spanish elaborated form of Eloise / Heloise — from the Germanic hild (battle) + wīg (fight). Heloise (c. Eloisa Cartonera — major Argentine independent publishing house.
Eloisa 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 Eloisa reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.