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Hi, Welcome to Just Answer. You're through to Dr Chris, a Vet based in the UK. I am reviewing your question and will get back to you shortly.
Yes indeed getting her spayed is a very sensible thing to do. We tend to spay cat with kittens once they are weaned (about 5 weeks of age), but can do it earlier in extreme situations. It sounds like if her kittens have been homed now, it is best to get in and get her spayed ASAP before she gets pregnant again.
Have you contacted your local Cats protection league? Then often can provide a neutering voucher to those on low income to help with the cost of neutering, see https://www.cats.org.uk/what-we-do/neutering/financial-assistance
I hope that answers your question? Please let me know if you need any further help or advice. Thank you for using Just Answer. Best wishes.