Is there enough contact left so you can solder a pigtail or probe the xtal? If so can you put it back in circuit? If not, can you contact it to make it oscillate in a test circuit?
If you can determine the frequency a substitute could be found in the same form factor.

I assume the microprocessor is also a house number? If not you could ballpark the frequency from the spec sheet.

Was it corrosion or something else that happened? The board looks clean overall from your photo.

Do you have access to a scope, spectrum analyser, signal generator?
Can...

If you cannot find information on this xtal you might consider using a simple ring oscillator to see the frequency.
Or a square wave signal generator and a scope to look at the ringing frequency....

Been fixing stuff since TVs had tubes.
Paid for my studies well....