Liming is a reactive application. The reaction time is influenced by moisture, the lime chemical composition (calcium and magnesium %) and the fineness of the applied lime. The finer the grind, the faster the reaction.

Ferilizer application is dependant on its form, the soil moisture and temperature. The more soluble the fertilizer, the more readily available the nutrients are to plants. The latter should guide your application of fertilizer to periods of the plant growth cycle. Nitrogen fertilizer is the most likely to leach since the most mobile.

Lime is most often applied in the fall to permit the reaction time for adjustment of the pH to match the planting time.

Fertilizer application is timed during plant growth. Again, the more soluble, the wider your application of the total application over the entire growing season; thus reducing losses by leaching.

Your soil type (sand,silt or clay) also influences lime reaction and fertilizer retention. The higher your clay component, the faster the lime reaction, and the better the P & K compnents are immobilized.

The offered link is from Kentucky but the science is the same.

Here is a link that might be useful: When to Apply Lime & Fertilizer

Lime takes a long time to work its way into the soil and have any affect. Even hydrolyzed. Which is why it is usually added in the fall. The usual recommendation is to wait 30-60 days before adding fertilizer for there to be any benefit and to avoid wasting the fertilizer.

But if you can't wait that long to fertilize just go ahead and add it now and the current soil pH from last year's lime may allow at least some benefit to the plants.

For the best results, you really need to have your soil professionally tested to determine what you are really working with. Check with your local county ag extension office for test availability in your area.

Dave