... had emailed themself an email in September of 2013 titled "key" with the body of the email containing a string of 64 numbers and lowercase letters beginning with 9.
Is this 64 characters long string composed of only the number 0-9 and letter a-f? If yes, it's pretty safe to assume it's hexadecimal and represents 256 bits of "something".
If you exposed the string to your old laptop while it was offline, it's not good for the safety of the string if this old laptop goes online some time later again, unless you completely wiped the mass storage. As long as you don't know what this string of symbols represents, security of it should be taken seriously.
A safer procedure would be to boot a live Linux on the old laptop that only runs in RAM and doesn't store anything persistantly. Of course, keep it offline. When you turn of such a live Linux, RAM gets wiped or forgets its content and nothing is left on the device.
I downloaded the bitaddress.org script on an old laptop and went offline. I entered my spouse's key in the wallet details tab. I downloaded electrum on my other laptop and entered the public key generated from bitaddress.org and the 51-digit WIF key generated by bitaddress.org. I see no balance or history on the bitcoin address.
I sent .0001 btc to both the compressed and uncompressed bitcoin addresses (as generated by bitaddress.org after entering the 64-digit key) from Coinbase and confirmed these transactions on btcscan.org with no other transaction history showing for those addresses.
When you convert the 64 chars hexadecimal string to WIF private keys, you have two options: an uncompressed and a compressed key. The uncompressed WIF starts with a 5... and the compressed WIF with K... or L...
It's enough to import both private keys into Electrum and maybe check different Electrum servers if all do sync fine. Sending 10k Sats seems unnecessary to me, but you can transfer the Sats back to your wallet, minus fees, of course. I would check the resulting public addresses with at least two different block explorers, mempool.space seems very reliable to me, even when address histories are huge.
If the hex string converted directly to WIF private keys doesn't hold funds, you could also try to hash the hex string (as string and as binary data) with SHA256 (once, twice, multiple times). This yields you more samples of 256 bits chunks to test if converted to private keys with funds.
Do not disclose anything if someone asks you to tell them what your spouse saved as "key". BTW, saving such details per email is a quite unsafe "backup" method. Thou' shall not expose your keys publicly.
Another idea:
As BIP32 was published in 2012 and BIP39 in September 2013 the hex string could also be the starting entropy for such a derivation. Though a bit unlikely to already be applicable to BIP-39 initial entropy.
I'm just brain-storming...
You seem to have made mention of sending some funds to the wallet well how were you able to get the wallet address if you haven't loaded up the wallet. That's because it's difficult to get wallets that can send funds to a public address.
OP converted the likely hexadecimal string to a private key in WIF representation using the bitaddress.org script. This gives you an "uncompressed" and "compressed" private key, hinting to uncompressed and compressed public keys derived from the private key. And from those you get the respective public addresses.
That's because it's difficult to get wallets that can send funds to a public address.
Seriously? How is it difficult for a wallet to send funds to a public address?
If you loaded it on Electrum and no wallet pooped up then it's definitely not a bitcoin wallet. Having 9 as the. First character means it could be any altcoin probably Ethereum doge or BCH. since a typical compressed bitcoin key starts with either "5" or "6"
Please, read more carefully what someone wrote: the 9 is the first digit of a very likely hexadecimal string representing 256 bits. And a compressed Bitcoin private key doesn't start with 5 or 6 but usually with K or L, see
https://learnmeabitcoin.com/technical/keys/private-key/wif/#benefits